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Volumn 15, Issue 11, 2013, Pages 4844-4888

Statistical mechanics and information-theoretic perspectives on complexity in the Earth system

Author keywords

Causality; Earth sciences; Entropy measures; Non extensive statistical mechanics; Symbolic dynamics

Indexed keywords


EID: 84901252857     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e15114844     Document Type: Review
Times cited : (86)

References (237)
  • 3
    • 84901275784 scopus 로고    scopus 로고
    • Geological Society of America: Boulder
    • CO, USA
    • Manduca, C. Mogk, D. Eds. Geological Society of America: Boulder, CO, USA, 2007; pp. 39-50.
    • (2007) , pp. 39-50
    • Manduca, C.1    Mogk, D.2
  • 4
    • 68249161986 scopus 로고    scopus 로고
    • Understanding the earth as a complex system-Recent advances in data analysis and modelling in earth sciences
    • Donner, R.V. Barbosa, S.M. Kurths, J. Marwan, N. Understanding the earth as a complex system-Recent advances in data analysis and modelling in earth sciences. Eur. Phys. J. Spec. Top. 2009, 174, 1-9.
    • (2009) Eur. Phys. J. Spec. Top. , vol.174 , pp. 1-9
    • Donner, R.V.1    Barbosa, S.M.2    Kurths, J.3    Marwan, N.4
  • 10
    • 0012474428 scopus 로고    scopus 로고
    • Symbolic dynamics and entropy analysis of Feigenbaum limit sets
    • Karamanos, K. Nicolis, G. Symbolic dynamics and entropy analysis of Feigenbaum limit sets. Chaos Solitons Fractals 1999, 10, 1135-1150.
    • (1999) Chaos Solitons Fractals , vol.10 , pp. 1135-1150
    • Karamanos, K.1    Nicolis, G.2
  • 11
    • 0037330341 scopus 로고    scopus 로고
    • A review of symbolic analysis of experimental data
    • Daw, C.S. Finney, C.E.A. Tracy, E.R. A review of symbolic analysis of experimental data. Rev. Scient. Instrum. 2003, 74, 915-930.
    • (2003) Rev. Scient. Instrum. , vol.74 , pp. 915-930
    • Daw, C.S.1    Finney, C.E.A.2    Tracy, E.R.3
  • 12
    • 57149124648 scopus 로고    scopus 로고
    • Symbolic recurrence plots: A new quantitative framework for performance analysis of manufacturing networks
    • Donner, R. Hinrichs, U. Scholz-Reiter, B. Symbolic recurrence plots: A new quantitative framework for performance analysis of manufacturing networks. Eur. Phys. J. Spec. Top. 2008, 164, 85-104.
    • (2008) Eur. Phys. J. Spec. Top. , vol.164 , pp. 85-104
    • Donner, R.1    Hinrichs, U.2    Scholz-Reiter, B.3
  • 13
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Shannon, C.E. A mathematical theory of communication. Bell Syst. Tech. J. 1948, 27, 379-423, 623-656.
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 15
    • 0002408684 scopus 로고
    • On Measures of Entropy and Information
    • Berkeley, CA, USA, 20-30 June 1960; University of California Press: Berkeley, CA, USA
    • Ŕenyi, A. On Measures of Entropy and Information. In Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, CA, USA, 20-30 June 1960; University of California Press: Berkeley, CA, USA, 1961; volume I, pp. 547-561.
    • (1961) Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability , vol.1 , pp. 547-561
    • Ŕenyi, A.1
  • 16
    • 84980082105 scopus 로고
    • Transmission of Information
    • Hartley, R.V.L. Transmission of Information. Bell Syst. Tech. J. 1928, 7, 535-563.
    • (1928) Bell Syst. Tech. J. , vol.7 , pp. 535-563
    • Hartley, R.V.L.1
  • 17
    • 85038302179 scopus 로고    scopus 로고
    • Detecting subthreshold events in noisy data by symbolic dynamics
    • doi:10.1103/PhysRevLett.90.100602
    • Graben, P. Kurths, J. Detecting subthreshold events in noisy data by symbolic dynamics. Phys. Rev. Lett. 2003, 90, doi:10.1103/PhysRevLett.90.100602.
    • (2003) Phys. Rev. Lett. , pp. 90
    • Graben, P.1    Kurths, J.2
  • 19
    • 80054046495 scopus 로고    scopus 로고
    • Analysis of electromagnetic pre-seismic emissions using Fisher Information and Tsallis entropy
    • Potirakis, S.M. Minadakis, G. Eftaxias, K. Analysis of electromagnetic pre-seismic emissions using Fisher Information and Tsallis entropy. Physica A 2012, 391, 300-306.
    • (2012) Physica A , vol.391 , pp. 300-306
    • Potirakis, S.M.1    Minadakis, G.2    Eftaxias, K.3
  • 20
    • 0028322859 scopus 로고
    • Toward a probabilistic approach to complex systems
    • Nicolis, G. Gaspard, P. Toward a probabilistic approach to complex systems. Chaos, Solitons Fractals 1994, 4, 41-57.
    • (1994) Chaos, Solitons Fractals , vol.4 , pp. 41-57
    • Nicolis, G.1    Gaspard, P.2
  • 21
    • 0026946737 scopus 로고
    • Word frequency and entropy of symbolic sequences: A dynamical perspective
    • Ebeling, W. Nicolis, G. Word frequency and entropy of symbolic sequences: A dynamical perspective. Chaos, Solitons Fractals 1992, 2, 635-650.
    • (1992) Chaos, Solitons Fractals , vol.2 , pp. 635-650
    • Ebeling, W.1    Nicolis, G.2
  • 23
    • 0001413858 scopus 로고
    • The basic theorems of information theory
    • McMillan, B. The basic theorems of information theory. Ann. Math. Stat. 1953, 24, 196-219.
    • (1953) Ann. Math. Stat. , vol.24 , pp. 196-219
    • McMillan, B.1
  • 24
    • 0042317681 scopus 로고
    • Toward a quantitative theory of self-generated complexity
    • Grassberger, P. Toward a quantitative theory of self-generated complexity. Int. J. Theor. Phys. 1986, 25, 907-938.
    • (1986) Int. J. Theor. Phys. , vol.25 , pp. 907-938
    • Grassberger, P.1
  • 26
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • Tsallis, C. Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 1988, 52, 479-487.
    • (1988) J. Stat. Phys. , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 27
    • 0000557971 scopus 로고    scopus 로고
    • Generalized entropy-based criterion for consistent testing
    • Tsallis, C. Generalized entropy-based criterion for consistent testing. Phys. Rev. E. 1998, 58, 1442-1445.
    • (1998) Phys. Rev. E. , vol.58 , pp. 1442-1445
    • Tsallis, C.1
  • 31
    • 13444273551 scopus 로고    scopus 로고
    • Ordinal time series analysis
    • Bandt, C. Ordinal time series analysis. Ecol. Model. 2005, 182, 229-238.
    • (2005) Ecol. Model. , vol.182 , pp. 229-238
    • Bandt, C.1
  • 32
    • 84880568281 scopus 로고    scopus 로고
    • Permutation entropy: A natural complexity measure for time series
    • doi:10.1103/PhysRevLett.88.174102
    • Bandt, C. Pompe, B. Permutation entropy: A natural complexity measure for time series. Phys. Rev. Lett. 2005, 88, doi:10.1103/PhysRevLett.88.174102.
    • (2005) Phys. Rev. Lett. , pp. 88
    • Bandt, C.1    Pompe, B.2
  • 33
    • 84879730277 scopus 로고    scopus 로고
    • Practical considerations of permutation entropy-A tutoral review
    • Riedl, M. M̈uller, A. Wessel, N. Practical considerations of permutation entropy-A tutoral review. Eur. Phys. J. Spec. Top. 2013, 222, 249-262.
    • (2013) Eur. Phys. J. Spec. Top. , vol.222 , pp. 249-262
    • Riedl, M.1    M̈uller, A.2    Wessel, N.3
  • 34
    • 84879715905 scopus 로고    scopus 로고
    • Permutation entropy: One concept, two approaches
    • Amigó, J. Keller, K. Permutation entropy: One concept, two approaches. Eur. Phys. J. Spec. Top. 2013, 222, 263-273.
    • (2013) Eur. Phys. J. Spec. Top. , vol.222 , pp. 263-273
    • Amigó, J.1    Keller, K.2
  • 35
    • 33745727222 scopus 로고    scopus 로고
    • Generalized statistical complexity measures: Geometrical and analytical properties
    • Martin, M.T. Plastino, A. Rosso, O.A. Generalized statistical complexity measures: Geometrical and analytical properties. Physica A 2006, 369, 439-462.
    • (2006) Physica A , vol.369 , pp. 439-462
    • Martin, M.T.1    Plastino, A.2    Rosso, O.A.3
  • 37
    • 84879733120 scopus 로고    scopus 로고
    • Ordinal pattern and statistical complexity analysis of daily stream flow time series
    • Lange, H. Rosso, O.A. Hauhs, M. Ordinal pattern and statistical complexity analysis of daily stream flow time series. Eur. Phys. J. Spec. Top. 2013, 222, 535-552.
    • (2013) Eur. Phys. J. Spec. Top. , vol.222 , pp. 535-552
    • Lange, H.1    Rosso, O.A.2    Hauhs, M.3
  • 38
    • 0026015905 scopus 로고
    • Approximate entropy as a measure of system complexity
    • Pincus, S.M. Approximate entropy as a measure of system complexity. Proc. Natl. Acad. Sci. USA 1991, 88, 2297-2301.
    • (1991) Proc. Natl. Acad. Sci. USA. , vol.88 , pp. 2297-2301
    • Pincus, S.M.1
  • 39
    • 0028355806 scopus 로고
    • Physiological time-series analysis: What does regularity quantify?
    • Pincus, S.M. Goldberger, A.L. Physiological time-series analysis: What does regularity quantify? Am. J. Physiol. 1994, 266, H1643-H1656.
    • (1994) Am J. Physiol. , vol.266
    • Pincus, S.M.1    Goldberger, A.L.2
  • 41
    • 4243243202 scopus 로고
    • Estimation of the Kolmogorov entropy from a chaotic signal
    • Grassberger, P. Procaccia, I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys. Rev. A 1983, 28, 2591-2593.
    • (1983) Phys. Rev. A. , vol.28 , pp. 2591-2593
    • Grassberger, P.1    Procaccia, I.2
  • 42
    • 0026780669 scopus 로고
    • Quantification of hormone pulsatility via an approximate entropy algorithm
    • Pincus, S.M. Keefe, D. Quantification of hormone pulsatility via an approximate entropy algorithm. Am. J. Physiol. Endocrinol. Metab. 1992, 262, E741-E754.
    • (1992) Am. J. Physiol. Endocrinol. Metab. , vol.262
    • Pincus, S.M.1    Keefe, D.2
  • 43
    • 0033949457 scopus 로고    scopus 로고
    • Physiological time-series analysis using approximate and sample entropy
    • Richman, J.S. Moorman, J.R. Physiological time-series analysis using approximate and sample entropy. Am. J. Physiol. Heart Circ. Physiol. 2000, 278, H2039-2049.
    • (2000) Am. J. Physiol. Heart Circ. Physiol. , vol.278
    • Richman, J.S.1    Moorman, J.R.2
  • 45
    • 57849119711 scopus 로고    scopus 로고
    • Measuring complexity using FuzzyEn, ApEn, and SampEn
    • Chen, W. Zhuang, J. Yu, W. Wang, Z. Measuring complexity using FuzzyEn, ApEn, and SampEn. Med. Eng. Phys. 2009, 31, 61-68.
    • (2009) Med. Eng. Phys. , vol.31 , pp. 61-68
    • Chen, W.1    Zhuang, J.2    Yu, W.3    Wang, Z.4
  • 47
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • Fraser, A.M. Swinney, H.L. Independent coordinates for strange attractors from mutual information. Phys. Rev. A 1986, 33, 1134-1140.
    • (1986) Phys. Rev. A. , vol.33 , pp. 1134-1140
    • Fraser, A.M.1    Swinney, H.L.2
  • 48
    • 39749164774 scopus 로고    scopus 로고
    • Estimating mutual information
    • doi:10.1103/PhysRevE.69.066138
    • Kraskov, A. Sẗogbauer, H. Grassberger, P. Estimating mutual information. Phys. Rev. E 2004, 69, doi:10.1103/PhysRevE.69.066138.
    • (2004) Phys. Rev. E. , pp. 69
    • Kraskov, A.1    Sẗogbauer, H.2    Grassberger, P.3
  • 49
    • 27944469202 scopus 로고    scopus 로고
    • Statistical validation of mutual information calculations: Comparison of alternative numerical algorithms
    • doi:10.1103/PhysRevE.71.066208
    • Cellucci, C.J. Albano, A.M. Rapp, P.E. Statistical validation of mutual information calculations: Comparison of alternative numerical algorithms. Phys. Rev. E 2005, 71, doi:10.1103/PhysRevE.71.066208.
    • (2005) Phys. Rev. E. , pp. 71
    • Cellucci, C.J.1    Albano, A.M.2    Rapp, P.E.3
  • 50
    • 0023325560 scopus 로고
    • Sample estimate of the entropy of a random vector
    • Kozachenko, L.F. Leonenko, N.N. Sample estimate of the entropy of a random vector. Probl. Peredachi Inf. 1987, 23, 95-101.
    • (1987) Probl. Peredachi Inf. , vol.23 , pp. 95-101
    • Kozachenko, L.F.1    Leonenko, N.N.2
  • 51
    • 0028346499 scopus 로고
    • On some entropy methods in data analysis
    • Pompe, B. On some entropy methods in data analysis. Chaos Solitons Fractals 1994, 4, 83-96.
    • (1994) Chaos Solitons Fractals , vol.4 , pp. 83-96
    • Pompe, B.1
  • 52
    • 0001450027 scopus 로고
    • Generalized redundancies for time series analysis
    • Prichard, D. Theiler, J. Generalized redundancies for time series analysis. Physica D 1995, 84, 476-493.
    • (1995) Physica D , vol.84 , pp. 476-493
    • Prichard, D.1    Theiler, J.2
  • 53
    • 4243440738 scopus 로고
    • Testing for nonlinearity using redundancies: Quantitative and qualitative aspects
    • Palǔs, M. Testing for nonlinearity using redundancies: Quantitative and qualitative aspects. Physica D 1995, 80, 186-205.
    • (1995) Physica D , vol.80 , pp. 186-205
    • Palǔs, M.1
  • 54
    • 0000331034 scopus 로고    scopus 로고
    • Detecting nonlinearity in multivariate time series
    • Palǔs, M. Detecting nonlinearity in multivariate time series. Phys. Lett. A. 1996, 213, 138-147.
    • (1996) Phys. Lett. A. , vol.213 , pp. 138-147
    • Palǔs, M.1
  • 55
    • 12944275674 scopus 로고    scopus 로고
    • Measuring information transfer
    • Schreiber, T. Measuring information transfer. Phys. Rev. Lett. 2000, 85, 461-464.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 461-464
    • Schreiber, T.1
  • 56
    • 0000351727 scopus 로고
    • Investigating causal relations by econometric models and cross-spectral methods
    • Granger, C. Investigating causal relations by econometric models and cross-spectral methods. Econometrica 1969, 37, 424-438.
    • (1969) Econometrica , vol.37 , pp. 424-438
    • Granger, C.1
  • 57
    • 19244387027 scopus 로고    scopus 로고
    • Analyzing multiple nonlinear time series with extended Granger causality
    • Chen, Y. Rangarajan, G. Feng, J. Ding, M. Analyzing multiple nonlinear time series with extended Granger causality. Phys. Lett. A 2004, 324, 26-35.
    • (2004) Phys. Lett. A. , vol.324 , pp. 26-35
    • Chen, Y.1    Rangarajan, G.2    Feng, J.3    Ding, M.4
  • 58
    • 41349110615 scopus 로고    scopus 로고
    • Radial basis function approach to nonlinear Granger causality of time series
    • doi:10.1103/PhysRevE.70.056221
    • Ancona, N. Marinazzo, D. Stramaglia, S. Radial basis function approach to nonlinear Granger causality of time series. Phys. Rev. E 2004, 70, doi:10.1103/PhysRevE.70.056221.
    • (2004) Phys. Rev. E. , pp. 70
    • Ancona, N.1    Marinazzo, D.2    Stramaglia, S.3
  • 59
    • 71549116419 scopus 로고    scopus 로고
    • Granger causality and transfer entropy are equivalent for Gaussian variables
    • doi: 10.1103/PhysRevLett.103.238701
    • Barnett, L. Barrett, A. Seth, A. Granger causality and transfer entropy are equivalent for Gaussian variables. Phys. Rev. Lett. 2009, 103, doi: 10.1103/PhysRevLett.103.238701.
    • (2009) Phys. Rev. Lett. , pp. 103
    • Barnett, L.1    Barrett, A.2    Seth, A.3
  • 60
    • 84862660973 scopus 로고    scopus 로고
    • Escaping the curse of dimensionality in estimating multivariate transfer entropy
    • doi:10.1103/PhysRevLett.108.258701
    • Runge, J. Heitzig, J. Petoukhov, V. Kurths, J. Escaping the curse of dimensionality in estimating multivariate transfer entropy. Phys. Rev. Lett. 2012, 108, doi:10.1103/PhysRevLett.108.258701.
    • (2012) Phys. Rev. Lett. , pp. 108
    • Runge, J.1    Heitzig, J.2    Petoukhov, V.3    Kurths, J.4
  • 61
    • 84880002507 scopus 로고    scopus 로고
    • Reliability of inference of directed climate networks using conditional mutual information
    • Hlinka, J. Hartman, D. Vejmelka, M. Runge, J. Marwan, N. Kurths, J. Palǔs, M. Reliability of inference of directed climate networks using conditional mutual information. Entropy 2013, 15, 2023-2045.
    • (2013) Entropy , vol.15 , pp. 2023-2045
    • Hlinka, J.1    Hartman, D.2    Vejmelka, M.3    Runge, J.4    Marwan, N.5    Kurths, J.6    Palǔs, M.7
  • 62
    • 0004047518 scopus 로고    scopus 로고
    • Oxford University Press: Oxford, UK
    • Lauritzen, S.L. Graphical Models; Oxford University Press: Oxford, UK, 1996.
    • (1996) Graphical Models
    • Lauritzen, S.L.1
  • 63
    • 0034354940 scopus 로고    scopus 로고
    • Graphical interaction models for multivariate time series
    • Dahlhaus, R. Graphical interaction models for multivariate time series. Metrika 2000, 51, 157-172.
    • (2000) Metrika , vol.51 , pp. 157-172
    • Dahlhaus, R.1
  • 64
    • 84861778291 scopus 로고    scopus 로고
    • Graphical modelling of multivariate time series
    • Eichler, M. Graphical modelling of multivariate time series. Probab. Theor. Rel. Fields 2012, 153, 233-268.
    • (2012) Probab. Theor. Rel. Fields. , vol.153 , pp. 233-268
    • Eichler, M.1
  • 65
    • 84871821494 scopus 로고    scopus 로고
    • Quantifying causal coupling strength: A lag-specific measure for multivariate time series related to transfer entropy
    • doi:10.1103/PhysRevE.86.061121
    • Runge, J. Heitzig, J. Marwan, N. Kurths, J. Quantifying causal coupling strength: A lag-specific measure for multivariate time series related to transfer entropy. Phys. Rev. E 2012, 86, doi:10.1103/PhysRevE.86.061121.
    • (2012) Phys. Rev. E. , pp. 86
    • Runge, J.1    Heitzig, J.2    Marwan, N.3    Kurths, J.4
  • 66
    • 79961050470 scopus 로고    scopus 로고
    • Momentary information transfer as a coupling measure of time series
    • doi:10.1103/PhysRevE.83.051122
    • Pompe, B. Runge, J. Momentary information transfer as a coupling measure of time series. Phys. Rev. E 2011, 83, doi:10.1103/PhysRevE.83.051122.
    • (2011) Phys. Rev. E. , pp. 83
    • Pompe, B.1    Runge, J.2
  • 67
    • 36148985016 scopus 로고    scopus 로고
    • Partial mutual information for coupling analysis of multivariate time series
    • doi:10.1103/PhysRevLett.99.204101
    • Frenzel, S. Pompe, B. Partial mutual information for coupling analysis of multivariate time series. Phys. Rev. Lett. 2007, 99, doi:10.1103/PhysRevLett.99.204101.
    • (2007) Phys. Rev. Lett. , pp. 99
    • Frenzel, S.1    Pompe, B.2
  • 68
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • Grassberger, P. Procaccia, I. Measuring the strangeness of strange attractors. Physica D 1983, 9, 189-208.
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 69
    • 33646981873 scopus 로고
    • Characterization of strange attractors
    • Grassberger, P. Procaccia, I. Characterization of strange attractors. Phys. Rev. Lett. 1983, 50, 346-349.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 346-349
    • Grassberger, P.1    Procaccia, I.2
  • 70
    • 33846338227 scopus 로고    scopus 로고
    • Recurrence plots for the analysis of complex systems
    • Marwan, N. Romano, M.C. Thiel, M. Kurths, J. Recurrence plots for the analysis of complex systems. Phys. Rep. 2007, 438, 237-329.
    • (2007) Phys. Rep. , vol.438 , pp. 237-329
    • Marwan, N.1    Romano, M.C.2    Thiel, M.3    Kurths, J.4
  • 71
    • 3042549832 scopus 로고    scopus 로고
    • Estimation of dynamical invariants without embedding by recurrence plots
    • Thiel, M. Romano, M.C. Read, P.L. Kurths, J. Estimation of dynamical invariants without embedding by recurrence plots. Chaos 2004, 14, 234-243.
    • (2004) Chaos , vol.14 , pp. 234-243
    • Thiel, M.1    Romano, M.C.2    Read, P.L.3    Kurths, J.4
  • 72
    • 33745541224 scopus 로고    scopus 로고
    • Estimating the Shannon entropy: Recurrence plots versus symbolic dynamics
    • doi:10.1103/PhysRevLett.96.254102
    • Letellier, C. Estimating the Shannon entropy: Recurrence plots versus symbolic dynamics. Phys. Rev. Lett. 2006, 96, doi:10.1103/PhysRevLett.96.254102.
    • (2006) Phys. Rev. Lett. , pp. 96
    • Letellier, C.1
  • 73
    • 77955336325 scopus 로고    scopus 로고
    • Recurrence plots for symbolic sequences
    • Faure, P. Lesne, A. Recurrence plots for symbolic sequences. Int. J. Bifurcation Chaos 2011, 20, 1731-1749.
    • (2011) Int. J. Bifurcation Chaos. , vol.20 , pp. 1731-1749
    • Faure, P.1    Lesne, A.2
  • 74
    • 84876155102 scopus 로고    scopus 로고
    • Detecting recurrence domains of dynamical systems by symbolic dynamics
    • doi:10.1103/PhysRevLett.110.154101
    • Beim Graben, P. Hutt, A. Detecting recurrence domains of dynamical systems by symbolic dynamics. Phys. Rev. Lett. 2013, 110, doi:10.1103/PhysRevLett.110.154101.
    • (2013) Phys. Rev. Lett. , pp. 110
    • Beim Graben, P.1    Hutt, A.2
  • 75
    • 28844433026 scopus 로고    scopus 로고
    • Visualization of coupling in time series by order recurrence plots
    • doi:10.1103/PhysRevE.72.046220
    • Groth, A. Visualization of coupling in time series by order recurrence plots. Phys. Rev. E. 2005, 72, doi:10.1103/PhysRevE.72.046220.
    • (2005) Phys. Rev. E. , pp. 72
    • Groth, A.1
  • 76
    • 35449005886 scopus 로고    scopus 로고
    • Order patterns recurrence plots in the analysis of ERP data
    • Schinkel, S. Marwan, N. Kurths, J. Order patterns recurrence plots in the analysis of ERP data. Cogn. Neurodyn. 2007, 1, 317-325.
    • (2007) Cogn. Neurodyn. , vol.1 , pp. 317-325
    • Schinkel, S.1    Marwan, N.2    Kurths, J.3
  • 77
    • 0346401452 scopus 로고    scopus 로고
    • A robust method for detecting interdependencies: Application to intracranially recorded EEG
    • Arnhold, J. Grassberger, P. Lehnertz, K. Elger, C.E. A robust method for detecting interdependencies: Application to intracranially recorded EEG. Physica D. 1999, 134, 419-430.
    • (1999) Physica D , vol.134 , pp. 419-430
    • Arnhold, J.1    Grassberger, P.2    Lehnertz, K.3    Elger, C.E.4
  • 78
    • 85035246836 scopus 로고    scopus 로고
    • Performance of different synchronization measures in real data: A case study on electroencephalographic signals
    • doi:10.1103/PhysRevE.65.041903
    • Quian Quiroga, R. Kraskov, A. Kreuz, T. Grassberger, P. Performance of different synchronization measures in real data: A case study on electroencephalographic signals. Phys. Rev. E. 2002, 65, doi:10.1103/PhysRevE.65.041903.
    • (2002) Phys. Rev. E. , pp. 65
    • Quian Quiroga, R.1    Kraskov, A.2    Kreuz, T.3    Grassberger, P.4
  • 79
    • 1442330397 scopus 로고    scopus 로고
    • Bivariate surrogate techniques: Necessity, strengths, and caveats
    • doi:10.1103/ PhysRevE.68.066202
    • Andrzejak, R.G. Kraskov, A. Sẗogbauer, H. Mormann, F. Kreuz, T. Bivariate surrogate techniques: Necessity, strengths, and caveats. Phys. Rev. E. 2003, 68, doi:10.1103/ PhysRevE.68.066202.
    • (2003) Phys. Rev. E. , pp. 68
    • Andrzejak, R.G.1    Kraskov, A.2    Sẗogbauer, H.3    Mormann, F.4    Kreuz, T.5
  • 80
    • 41349091675 scopus 로고    scopus 로고
    • Detection of weak directional coupling: Phase-dynamics approach versus state-space approach
    • doi:10.1103/PhysRevE.71.036207
    • Smirnov, D.A. Andrzejak, R.G. Detection of weak directional coupling: Phase-dynamics approach versus state-space approach. Phys. Rev. E. 2005, 71, doi:10.1103/PhysRevE.71.036207.
    • (2005) Phys. Rev. E. , pp. 71
    • Smirnov, D.A.1    Andrzejak, R.G.2
  • 81
    • 31344448786 scopus 로고    scopus 로고
    • Detecting event-related time-dependent directional couplings
    • doi:10.1088/1367-2630/8/1/006
    • Andrzejak, R.G. Ledberg, A. Deco, G. Detecting event-related time-dependent directional couplings. New J. Phys. 2006, 8, doi:10.1088/1367-2630/8/1/006.
    • (2006) New J. Phys. , pp. 8
    • Andrzejak, R.G.1    Ledberg, A.2    Deco, G.3
  • 82
    • 70349238735 scopus 로고    scopus 로고
    • Reliable detection of directional couplings using rank statistics
    • doi:10.1103/PhysRevE.80.026217
    • Chicharro, D. Andrzejak, R.G. Reliable detection of directional couplings using rank statistics. Phys. Rev. E. 2009, 80, doi:10.1103/PhysRevE.80.026217.
    • (2009) Phys. Rev. E. , pp. 80
    • Chicharro, D.1    Andrzejak, R.G.2
  • 84
    • 34748862970 scopus 로고    scopus 로고
    • Estimation of the direction of the coupling by conditional probabilities of recurrence
    • doi: 10.1103/PhysRevE. 76.036211
    • Romano, M.C. Thiel, M. Kurths, J. Grebogi, C. Estimation of the direction of the coupling by conditional probabilities of recurrence. Phys. Rev. E. 2007, 76, doi: 10.1103/PhysRevE. 76.036211.
    • (2007) Phys. Rev. E. , pp. 76
    • Romano, M.C.1    Thiel, M.2    Kurths, J.3    Grebogi, C.4
  • 86
    • 84868196152 scopus 로고    scopus 로고
    • Geometric detection of coupling directions by means of inter-system recurrence networks
    • Feldhoff, J.H. Donner, R.V. Donges, J.F. Marwan, N. Kurths, J. Geometric detection of coupling directions by means of inter-system recurrence networks. Phys. Lett. A. 2012, 376, 3504-3513.
    • (2012) Phys. Lett. A. , vol.376 , pp. 3504-3513
    • Feldhoff, J.H.1    Donner, R.V.2    Donges, J.F.3    Marwan, N.4    Kurths, J.5
  • 89
    • 84989591481 scopus 로고
    • The evolution from weak to strong geomagnetic activity: An interpretation in terms of deterministic chaos
    • Baker, D.N. Klimas, A.J. McPherron, R.L. Buchner, J. The evolution from weak to strong geomagnetic activity: An interpretation in terms of deterministic chaos. Geophys. Res. Lett. 1990, 17, 41-44.
    • (1990) Geophys. Res. Lett. , vol.17 , pp. 41-44
    • Baker, D.N.1    Klimas, A.J.2    McPherron, R.L.3    Buchner, J.4
  • 91
    • 84989533567 scopus 로고
    • Reconstruction of low-dimensional magnetospheric dynamics by singular spectrum analysis
    • Sharma, A.S. Vassiliadis, D. Papadopoulos, K. Reconstruction of low-dimensional magnetospheric dynamics by singular spectrum analysis. Geophys. Res. Lett. 1993, 20, 335-338.
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 335-338
    • Sharma, A.S.1    Vassiliadis, D.2    Papadopoulos, K.3
  • 92
    • 0141992695 scopus 로고    scopus 로고
    • Geometrical characteristics of magnetospheric energetic ion time series: Evidence for low dimensional chaos
    • Pavlos, G.P. Athanasiu, M.A. Rigas, A.G. Sarafopoulos, D.V. Sarris, E.T. Geometrical characteristics of magnetospheric energetic ion time series: Evidence for low dimensional chaos. Ann. Geophys. 2003, 21, 1975-1993.
    • (2003) Ann. Geophys. , vol.21 , pp. 1975-1993
    • Pavlos, G.P.1    Athanasiu, M.A.2    Rigas, A.G.3    Sarafopoulos, D.V.4    Sarris, E.T.5
  • 94
    • 0026991024 scopus 로고
    • Low-dimensional behavior and symmetry breaking of stochastic systems near criticality-can these effects be observed in space and in the laboratory?
    • Chang, T. Low-dimensional behavior and symmetry breaking of stochastic systems near criticality-can these effects be observed in space and in the laboratory? IEEE Trans. Plasma Sci. 1992, 20, 691-694.
    • (1992) IEEE Tran Plasma Sci , vol.20 , pp. 691-694
    • Chang, T.1
  • 95
    • 0344551011 scopus 로고    scopus 로고
    • Intermittent turbulence in the magnetotail
    • Chang, T. Intermittent turbulence in the magnetotail. EOS Trans. Suppl. 1998, 79, S328.
    • (1998) EOS Trans. Suppl. , vol.79
    • Chang, T.1
  • 96
    • 0001328872 scopus 로고    scopus 로고
    • Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in the magnetotail
    • Chang, T. Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in the magnetotail. Phys. Plasmas. 1999, 6, 4137-4145.
    • (1999) Phys. Plasmas. , vol.6 , pp. 4137-4145
    • Chang, T.1
  • 97
    • 0036303371 scopus 로고    scopus 로고
    • Preferential acceleration of coherent magnetic structures and bursty bulk flows in Earth's magnetotail
    • Chang, T. Wu, C.C. Angelopoulos, V. Preferential acceleration of coherent magnetic structures and bursty bulk flows in Earth's magnetotail. Phys. Scr. 2002, T98, 48-51.
    • (2002) Phys. Scr. , vol.T98 , pp. 48-51
    • Chang, T.1    Wu, C.C.2    Angelopoulos, V.3
  • 98
    • 0000696453 scopus 로고    scopus 로고
    • Sandpile Cellular Automata and Magnetospheric Dynamics
    • Aiello, S. Ed. SIF: Bologna, Italy
    • Consolini, G. Sandpile Cellular Automata and Magnetospheric Dynamics. In Cosmic Physics in the Year 2000 Aiello, S. Ed. SIF: Bologna, Italy, 1997; pp. 123-126.
    • (1997) Cosmic Physics in the Year 2000 , pp. 123-126
    • Consolini, G.1
  • 99
    • 0036300005 scopus 로고    scopus 로고
    • Complexity, magnetic field topology, criticality, and metastability in magnetotail dynamics
    • Consolini, G. Chang, T. Complexity, magnetic field topology, criticality, and metastability in magnetotail dynamics. J. Atmos. Sol. Terr. Phys. 2002, 64, 541-549.
    • (2002) J. Atmos. Sol. Terr. Phys. , vol.64 , pp. 541-549
    • Consolini, G.1    Chang, T.2
  • 101
    • 0042682949 scopus 로고    scopus 로고
    • Scalefree statistics of spatiotemporal auroral emissions as depicted by POLAR UVI images: The dynamic magnetosphere is an avalanching system
    • doi:10.1029/ 2001JA000281
    • Uritsky, V.M. Klimas, A.J. Vassiliadis, D. Chua, D. Parks, G.D. Scalefree statistics of spatiotemporal auroral emissions as depicted by POLAR UVI images: The dynamic magnetosphere is an avalanching system. J. Geophys. Res. 2002, 107, doi:10.1029/ 2001JA000281.
    • (2002) J. Geophys. Res. , vol.107
    • Uritsky, V.M.1    Klimas, A.J.2    Vassiliadis, D.3    Chua, D.4    Parks, G.D.5
  • 102
    • 0001328871 scopus 로고    scopus 로고
    • Evidence for intermittency in Earth's plasma sheet and implications for self-organized criticality
    • Angelopoulos, V. Mukai, T. Kokubun, S. Evidence for intermittency in Earth's plasma sheet and implications for self-organized criticality. Phys. Plasmas 1999, 6, 4161-4168.
    • (1999) Phys. Plasmas , vol.6 , pp. 4161-4168
    • Angelopoulos, V.1    Mukai, T.2    Kokubun, S.3
  • 103
    • 2542434868 scopus 로고    scopus 로고
    • MHD turbulence in the Earth's plasma sheet: Dynamics, dissipation, and driving
    • doi:10.1029/2002JA009625
    • Borovsky, J.E. Funsten, H.O. MHD turbulence in the Earth's plasma sheet: Dynamics, dissipation, and driving. J. Geophys. Res. 2003, 108, doi:10.1029/2002JA009625.
    • (2003) J. Geophys. Res. , pp. 108
    • Borovsky, J.E.1    Funsten, H.O.2
  • 105
    • 0033563583 scopus 로고    scopus 로고
    • Sign-singularity analysis of current disruption
    • Consolini, G. Lui, A.T.Y. Sign-singularity analysis of current disruption. Geophys. Res. Lett. 1999, 26, 1673-1676.
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 1673-1676
    • Consolini, G.1    Lui, A.T.Y.2
  • 106
    • 84971306120 scopus 로고    scopus 로고
    • Symmetry Breaking and Nonlinear Wave-Wave Interaction in Current Disruption: Possible Evidence for a Phase Transition
    • Ohtani S. Fujii R. Hesse M. Lysak R.L
    • Consolini, G. Lui, A.T.Y. Symmetry Breaking and Nonlinear Wave-Wave Interaction in Current Disruption: Possible Evidence for a Phase Transition. In Magnetospheric Current Systems-Geophysical Monograph Ohtani, S. Fujii, R. Hesse, M. Lysak, R.L. Eds. 2000, 118, 395-401.
    • (2000) Magnetospheric Current Systems-Geophysical Monograph , vol.118 , pp. 395-401
    • Consolini, G.1    Lui, A.T.Y.2
  • 108
    • 37649029232 scopus 로고    scopus 로고
    • Modeling substorm dynamics of the magnetosphere: From self-organization and self-organized criticality to non-equilibrium phase transitions
    • doi:10.1103/PhysRevE.65.016116
    • Sitnov, M.I. Sharma, A.S. Papadopoulos, K. Vassiliadis, D. Modeling substorm dynamics of the magnetosphere: From self-organization and self-organized criticality to non-equilibrium phase transitions. Phys. Rev. E. 2001, 65, doi:10.1103/PhysRevE.65.016116.
    • (2001) Phys. Rev. E. , pp. 65
    • Sitnov, M.I.1    Sharma, A.S.2    Papadopoulos, K.3    Vassiliadis, D.4
  • 109
    • 0035145012 scopus 로고    scopus 로고
    • Magnetic field topology and criticality in geotail dynamics: Relevance to substorm phenomena
    • Consolini, G. Chang, T. Magnetic field topology and criticality in geotail dynamics: Relevance to substorm phenomena. Space Sci. Rev. 2001, 95, 309-321.
    • (2001) Space Sci. Rev. , vol.95 , pp. 309-321
    • Consolini, G.1    Chang, T.2
  • 110
    • 33845920230 scopus 로고    scopus 로고
    • From pre-storm activity to magnetic storms: A transition described in terms of fractal dynamics
    • Balasis, G. Daglis, I.A. Kapiris, P. Mandea, M. Vassiliadis, D. Eftaxias, K. From pre-storm activity to magnetic storms: A transition described in terms of fractal dynamics. Ann. Geophys. 2006, 24, 3557-3567.
    • (2006) Ann. Geophys. , vol.24 , pp. 3557-3567
    • Balasis, G.1    Daglis, I.A.2    Kapiris, P.3    Mandea, M.4    Vassiliadis, D.5    Eftaxias, K.6
  • 111
    • 84882742414 scopus 로고    scopus 로고
    • On the multi-scale nature of large geomagnetic storms: An empirical mode decomposition analysis
    • De Michelis, P. Consolini, G. Tozzi, R. On the multi-scale nature of large geomagnetic storms: An empirical mode decomposition analysis. Nonlinear Processes Geophys. 2012, 19, 667-673.
    • (2012) Nonlinear Processes Geophys , vol.19 , pp. 667-673
    • De Michelis, P.1    Consolini, G.2    Tozzi, R.3
  • 112
    • 33746330705 scopus 로고    scopus 로고
    • Multifractal modeling of magnetic storms via symbolic dynamics analysis
    • doi:10.1029/2004JA010996
    • Wanliss, J.A. Anh, V.V. Yu, Z.-G. Watson, S. Multifractal modeling of magnetic storms via symbolic dynamics analysis. J. Geophys. Res. 2005, 110, doi:10.1029/2004JA010996.
    • (2005) J. Geophys. Res. , vol.110
    • Wanliss, J.A.1    Anh, V.V.2    Yu, Z.-G.3    Watson, S.4
  • 113
    • 0006286541 scopus 로고    scopus 로고
    • Low frequency 1/f-like fluctuations of the AE-index as a possible manifestation of self-organized criticality in the magnetosphere
    • Uritsky, V.M. Pudovkin, M.I. Low frequency 1/f-like fluctuations of the AE-index as a possible manifestation of self-organized criticality in the magnetosphere. Ann. Geophys. 1998, 16, 1580-1588.
    • (1998) Ann. Geophys. , vol.16 , pp. 1580-1588
    • Uritsky, V.M.1    Pudovkin, M.I.2
  • 114
    • 0034510773 scopus 로고    scopus 로고
    • Power law distributions of burst duration and interburst interval in the solar wind: Turbulence or dissipative self-organized criticality?
    • Freeman, M.P.;Watkins, N.W. Riley, D. J. Power law distributions of burst duration and interburst interval in the solar wind: Turbulence or dissipative self-organized criticality? Phys. Rev. E. 2000, 62, 8794-8797.
    • (2000) Phys Rev. E. , vol.62 , pp. 8794-8797
    • Freeman, M.P.1    Watkins, N.W.2    Riley, D.J.3
  • 116
    • 0035146221 scopus 로고    scopus 로고
    • Avalanching and self organised criticality A paradigm for geomagnetic activity?
    • Chapman, S.;Watkins, N. Avalanching and self organised criticality. A paradigm for geomagnetic activity? Space Sci. Rev. 2001, 95, 293-307.
    • (2001) Space Sci. Rev. , vol.95 , pp. 293-307
    • Chapman, S.1    Watkins, N.2
  • 117
    • 0036759414 scopus 로고    scopus 로고
    • Self-organized criticality: A new paradigm for the magnetotail dynamics
    • Consolini, G. Self-organized criticality: A new paradigm for the magnetotail dynamics. Fractals. 2002, 10, 275-283.
    • (2002) Fractals , vol.10 , pp. 275-283
    • Consolini, G.1
  • 118
    • 13944267156 scopus 로고    scopus 로고
    • A nonextensive entropy approach to solar wind intermittency
    • Leubner, M.P. V̈or̈os, Z. A nonextensive entropy approach to solar wind intermittency. Astrophys. J. 2005, 618, 547-555.
    • (2005) Astrophys. J. , vol.618 , pp. 547-555
    • Leubner, M.P.1    Vörös, Z.2
  • 122
    • 78650541193 scopus 로고    scopus 로고
    • Radiation Belts and Ring Current
    • Bothmer V. Daglis I.A. Springer: Berlin, Germany
    • Baker, D.N. Daglis, I.A. Radiation Belts and Ring Current. In Space Weather: Physics and Effects Bothmer, V. Daglis, I.A. Eds. Springer: Berlin, Germany, 2007; pp. 173-202.
    • (2007) Space Weather: Physics and Effects , pp. 173-202
    • Baker, D.N.1    Daglis, I.A.2
  • 123
    • 84901278548 scopus 로고    scopus 로고
    • Geomagnetic Equatorial Dst index Home Page. available online (accessed on 1 August)
    • Geomagnetic Equatorial Dst index Home Page. available online: http://wdc.kugi.kyoto-u.ac.jp/dst-dir/index.html (accessed on 1 August 2013).
    • (2013)
  • 124
    • 82655184928 scopus 로고    scopus 로고
    • Quantifying dynamical complexity of magnetic storms and solar flares via nonextensive tsallis entropy
    • Balasis, G. Daglis, I.A. Papadimitriou, C. Anastasiadis, A. Sandberg, I. Eftaxias, K. Quantifying dynamical complexity of magnetic storms and solar flares via nonextensive tsallis entropy. Entropy 2011, 13, 1865-1881.
    • (2011) Entropy , vol.13 , pp. 1865-1881
    • Balasis, G.1    Daglis, I.A.2    Papadimitriou, C.3    Anastasiadis, A.4    Sandberg, I.5    Eftaxias, K.6
  • 125
    • 79953026997 scopus 로고    scopus 로고
    • Earthquakes, Electromagnetic Signals of
    • Meyers, R.A. Ed. Springer-Verlag: New York, NY, USA
    • Uyeda, S. Kamogawa, M. Nagao, T. Earthquakes, Electromagnetic Signals of. In Encyclopedia of Complexity and Systems Science Meyers, R.A. Ed. Springer-Verlag: New York, NY, USA, 2009; pp. 2621-2635.
    • (2009) Encyclopedia of Complexity and Systems Science , pp. 2621-2635
    • Uyeda, S.1    Kamogawa, M.2    Nagao, T.3
  • 126
    • 67349174561 scopus 로고    scopus 로고
    • Short-term earthquake prediction: Current status of seismo-electromagnetics
    • Uyeda, S. Nagao, T. Kamogawa, M. Short-term earthquake prediction: Current status of seismo-electromagnetics. Tectonophysics. 2009, 470, 205-213.
    • (2009) Tectonophysics , vol.470 , pp. 205-213
    • Uyeda, S.1    Nagao, T.2    Kamogawa, M.3
  • 127
    • 0037989295 scopus 로고
    • Potentialities of magnetometric methods for the problem of earthquake forerunners
    • Kalashnikov, A.D. Potentialities of magnetometric methods for the problem of earthquake forerunners. Tr. Geofiz. Inst. Akad. Nauk. SSSR. 1954, 25, 180-182.
    • (1954) Tr. Geofiz. Inst. Akad. Nauk. SSSR. , vol.25 , pp. 180-182
    • Kalashnikov, A.D.1
  • 128
    • 0002551571 scopus 로고
    • Measurements and theoretical models of the Earth's electric field variations related to earthquakes
    • Varotsos, P. Kulhanek, O. (Eds.) Measurements and theoretical models of the Earth's electric field variations related to earthquakes. Tectonophysics. 1993, 224, 1-88.
    • (1993) Tectonophysics , vol.224 , pp. 1-88
    • Varotsos, P.1    Kulhanek, O.2
  • 130
    • 0027879932 scopus 로고
    • Electromagnetic precursors to earthquakes in the ULF band: A review of observations and mechanisms
    • Park, S. Johnston, M. Madden, T.: Morgan, F. Morrison, H. Electromagnetic precursors to earthquakes in the ULF band: A review of observations and mechanisms. Rev. Geophys. 1993, 31, 117-132.
    • (1993) Rev. Geophys. , vol.31 , pp. 117-132
    • Park, S.1    Johnston, M.2    Madden, T.3    Morgan, F.4    Morrison, H.5
  • 131
    • 0033568912 scopus 로고    scopus 로고
    • Fractal analysis of ULF geomagnetic data associated with the Guam eartquake on 8 August 1993
    • Hayakawa, M. Ito, T. Smirnova, N. Fractal analysis of ULF geomagnetic data associated with the Guam eartquake on 8 August 1993. Geophys. Res. Lett. 1999, 26, 2797-2800.
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 2797-2800
    • Hayakawa, M.1    Ito, T.2    Smirnova, N.3
  • 132
    • 0034523377 scopus 로고    scopus 로고
    • ULF electromagnetic precursors for an earthquake at Biak Indonesia in 17 February 1996
    • Hayakawa, M. Itoh, T. Hattori, K. Yumoto, K. ULF electromagnetic precursors for an earthquake at Biak, Indonesia in 17 February 1996. Geophys. Res. Lett. 2000, 27, 1531-1534.
    • (2000) Geophys. Res. Lett. , vol.27 , pp. 1531-1534
    • Hayakawa, M.1    Itoh, T.2    Hattori, K.3    Yumoto, K.4
  • 133
    • 7244221518 scopus 로고    scopus 로고
    • ULF geomagnetic changes associated with large earthquakes
    • Hattori, K. ULF geomagnetic changes associated with large earthquakes. Terr. Atmos. Ocean Sci. 2004, 15, 329-360.
    • (2004) Terr. Atmos. Ocean Sci. , vol.15 , pp. 329-360
    • Hattori, K.1
  • 135
    • 0020330358 scopus 로고
    • Experimental measurement of electromagnetic emissions possibly related to earthquakes in Japan
    • Gokhberg M.B. Morgounov, V.A. Yoshino, T. Tomizawa, I. Experimental measurement of electromagnetic emissions possibly related to earthquakes in Japan. J. Geophys. Res. 1982, 87, 7824-7828.
    • (1982) J. Geophys. Res. , vol.87 , pp. 7824-7828
    • Gokhberg, M.B.1    Morgounov, V.A.2    Yoshino, T.3    Tomizawa, I.4
  • 136
    • 0005866081 scopus 로고    scopus 로고
    • An attempt to delineate very low frequency electromagnetic signals associated with earthquakes
    • Asada, T. Baba, H. Kawazoe, K. Sugiura, M. An attempt to delineate very low frequency electromagnetic signals associated with earthquakes. Earth Planets Space. 2001, 53, 55-62.
    • (2001) Earth Planets Space , vol.53 , pp. 55-62
    • Asada, T.1    Baba, H.2    Kawazoe, K.3    Sugiura, M.4
  • 137
    • 84873833548 scopus 로고    scopus 로고
    • The Earth as a living planet: human-type diseases in the earthquake preparation process
    • Contoyiannis, Y.F. Potirakis, S.M. Eftaxias, K. The Earth as a living planet: human-type diseases in the earthquake preparation process. Nat. Hazards Earth Syst. Sci. 2013, 13, 125-139.
    • (2013) Nat. Hazards Earth Syst. Sci. , vol.13 , pp. 125-139
    • Contoyiannis, Y.F.1    Potirakis, S.M.2    Eftaxias, K.3
  • 138
    • 40949121412 scopus 로고    scopus 로고
    • Nonextensivity and universality in the earthquake preparation process
    • doi:10.1103/PhysRevE.77.036101
    • Papadimitriou, C. Kalimeri, M. Eftaxias, K. Nonextensivity and universality in the earthquake preparation process. Phys. Rev. E. 2008, 77, doi:10.1103/PhysRevE.77.036101.
    • (2008) Phys. Rev. E. , pp. 77
    • Papadimitriou, C.1    Kalimeri, M.2    Eftaxias, K.3
  • 139
    • 84866037628 scopus 로고    scopus 로고
    • Relation between seismicity and pre-earthquake electromagnetic emissions in terms of energy, information and entropy content
    • Potirakis, S.M. Minadakis, G. Eftaxias, K. Relation between seismicity and pre-earthquake electromagnetic emissions in terms of energy, information and entropy content. Nat. Hazards Earth Syst. Sci. 2012, 12, 1179-1183.
    • (2012) Nat. Hazards Earth Syst. Sci. , vol.12 , pp. 1179-1183
    • Potirakis, S.M.1    Minadakis, G.2    Eftaxias, K.3
  • 140
    • 0038361478 scopus 로고    scopus 로고
    • Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling
    • Hayakawa, M., Molchanov, O., Eds. TerraPub: Tokyo, Japan
    • Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling; Hayakawa, M., Molchanov, O., Eds. TerraPub: Tokyo, Japan, 2002.
    • (2002)
  • 142
    • 33750850656 scopus 로고    scopus 로고
    • Preseismic lithosphere-atmosphere-ionosphere coupling
    • Kamagowa, M. Preseismic lithosphere-atmosphere-ionosphere coupling. EOS Trans. AGU. 2006, 87, 417-424.
    • (2006) EOS Trans. AGU. , vol.87 , pp. 417-424
    • Kamagowa, M.1
  • 143
    • 84882777193 scopus 로고    scopus 로고
    • The earthquake-related disturbances in ionosphere and project of the first China seismo-electromagnetic satellite
    • Shen, X. Zhang, X. Wang, L. Chen, H. Wu, Y. Yuan, S. Shen, J. Zhao, S. Qian, J. Ding, J. The earthquake-related disturbances in ionosphere and project of the first China seismo-electromagnetic satellite. Earthq. Sci. 2011, 24, 639-650.
    • (2011) Earthq. Sci. , vol.24 , pp. 639-650
    • Shen, X.1    Zhang, X.2    Wang, L.3    Chen, H.4    Wu, Y.5    Yuan, S.6    Shen, J.7    Zhao, S.8    Qian, J.9    Ding, J.10
  • 146
    • 77953943505 scopus 로고    scopus 로고
    • Current status of seismo-electromagnetics for short-term earthquake prediction
    • Hayakawa, M. Hobara, Y. Current status of seismo-electromagnetics for short-term earthquake prediction. Geomat. Nat. Hazards Risk 2010, 1, 115-155.
    • (2010) Geomat. Nat. Hazards Risk. , vol.1 , pp. 115-155
    • Hayakawa, M.1    Hobara, Y.2
  • 150
    • 0003432181 scopus 로고    scopus 로고
    • Springer: New York, NY, USA
    • Bak, P. How Nature Works; Springer: New York, NY, USA, 1996.
    • (1996) How Nature Works
    • Bak, P.1
  • 152
    • 84899571834 scopus 로고    scopus 로고
    • Earthquakes: Complexity and Extreme Events
    • Sharma, A.S., Bunde, A., Dimri, V.P., Baker, D.N., Eds. American Geophysical Union: Washington, D.C., WA, USA
    • Yoder, M.R. Turcotte, D.L. Rundle, J.B. Earthquakes: Complexity and Extreme Events. In Extreme Events and Natural Hazards: The Complexity Perspective, Geophysical Monograph; Sharma, A.S., Bunde, A., Dimri, V.P., Baker, D.N., Eds. American Geophysical Union: Washington, D.C., WA, USA, 2012; Volume 196, pp. 17-26.
    • (2012) Extreme Events and Natural Hazards: The Complexity Perspective, Geophysical Monograph , vol.196 , pp. 17-26
    • Yoder, M.R.1    Turcotte, D.L.2    Rundle, J.B.3
  • 153
    • 73849096976 scopus 로고    scopus 로고
    • Entropy production and self-organized (sub)criticality in earthquake dynamics
    • Main, I.G. Naylor, M. Entropy production and self-organized (sub)criticality in earthquake dynamics, Phil. Trans. R. Soc. A. 2010, 368, 131-144.
    • (2010) Phil. Trans. R. Soc. A. , vol.368 , pp. 131-144
    • Main, I.G.1    Naylor, M.2
  • 154
    • 84864455589 scopus 로고    scopus 로고
    • A multidisciplinary analysis for traces of the last state of earthquake generation in preseismic electromagnetic emissions
    • Potirakis, S.M. Minadakis, G. Nomicos, C. Eftaxias, K. A multidisciplinary analysis for traces of the last state of earthquake generation in preseismic electromagnetic emissions. Nat. Hazards Earth Syst. Sci. 2011, 11, 2859-2879.
    • (2011) Nat. Hazards Earth Syst. Sci. , vol.11 , pp. 2859-2879
    • Potirakis, S.M.1    Minadakis, G.2    Nomicos, C.3    Eftaxias, K.4
  • 155
    • 84873828328 scopus 로고    scopus 로고
    • Are There Pre-Seismic Electromagnetic Precursors? A Multidisciplinary Approach
    • D'Amico, S., Ed. InTech: Rijeka, Croatia,;doi:10.5772/28069
    • Eftaxias, K. Are There Pre-Seismic Electromagnetic Precursors? A Multidisciplinary Approach. In Earthquake Research and Analysis-Statistical Studies, Observations and Planning; D'Amico, S., Ed. InTech: Rijeka, Croatia, 2012; doi: 10.5772/28069.
    • (2012) Earthquake Research and Analysis-Statistical Studies, Observations and Planning
    • Eftaxias, K.1
  • 156
    • 84880342319 scopus 로고    scopus 로고
    • Natural time analysis of critical phenomena: The case of pre-fracture electromagnetic emissions
    • doi: 10.1063/1.4807908
    • Potirakis, S.M. Karadimitrakis, A. Eftaxias, K. Natural time analysis of critical phenomena: The case of pre-fracture electromagnetic emissions. Chaos 2013, 23, doi: 10.1063/1.4807908.
    • (2013) Chaos , pp. 23
    • Potirakis, S.M.1    Karadimitrakis, A.2    Eftaxias, K.3
  • 157
    • 84866025991 scopus 로고    scopus 로고
    • Sudden drop of fractal dimension of electromagnetic emissions recorded prior to significant earthquake
    • Potirakis, S.M. Minadakis, G. Eftaxias, K. Sudden drop of fractal dimension of electromagnetic emissions recorded prior to significant earthquake. Nat. Hazards 2012, 64, 641-650.
    • (2012) Nat. Hazards. , vol.64 , pp. 641-650
    • Potirakis, S.M.1    Minadakis, G.2    Eftaxias, K.3
  • 158
    • 84855609671 scopus 로고    scopus 로고
    • Linking electromagnetic precursors with earthquake dynamics: An approach based on nonextensive fragment and self-affine asperity models
    • Minadakis, G. Potirakis, S.M. Nomicos, C. Eftaxias, K. Linking electromagnetic precursors with earthquake dynamics: An approach based on nonextensive fragment and self-affine asperity models. Physica A 2012, 391, 2232-2244.
    • (2012) Physica A , vol.391 , pp. 2232-2244
    • Minadakis, G.1    Potirakis, S.M.2    Nomicos, C.3    Eftaxias, K.4
  • 160
    • 84867777473 scopus 로고    scopus 로고
    • Fractal analysis of ULF electromagnetic emissions in possible association with earthquakes in China
    • Ida, Y. Yang, D. Li, Q. Sun, H. Hayakawa, M. Fractal analysis of ULF electromagnetic emissions in possible association with earthquakes in China. Nonlinear Processes Geophys. 2012, 19, 577-583.
    • (2012) Nonlinear Processes Geophys , vol.19 , pp. 577-583
    • Ida, Y.1    Yang, D.2    Li, Q.3    Sun, H.4    Hayakawa, M.5
  • 161
    • 84901265968 scopus 로고    scopus 로고
    • Complexity, Metastability, and Nonextensivity
    • Zaragoza, Spain April 2007; American Institute of Physics: College Park, MD, USA
    • Abe, S. Herrmann, H. Quarati, P. Rapisarda, A. Tsallis, C. Complexity, Metastability, and Nonextensivity. In Proceedings of the AIP Conference, Zaragoza, Spain, 18-20 April 2007; Volume 95, American Institute of Physics: College Park, MD, USA, 2007.
    • (2007) , vol.95 , pp. 18-20
    • Abe, S.1    Herrmann, H.2    Quarati, P.3    Rapisarda, A.4    Tsallis, C.5
  • 162
    • 1842783415 scopus 로고    scopus 로고
    • Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems
    • doi:10.1029/2003RG000135
    • Rundle, J. Turcotte, D. Shcherbakov, R. Klein, W. Sammis, C. Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems. Rev. Geophys. 2003, 41, doi:10.1029/2003RG000135.
    • (2003) Rev. Geophys. , pp. 41
    • Rundle, J.1    Turcotte, D.2    Shcherbakov, R.3    Klein, W.4    Sammis, C.5
  • 165
    • 27944432663 scopus 로고    scopus 로고
    • Monitoring of a preseismic phase from its electromagnetic precursors
    • doi:10.1103/PhysRevE.71.066123
    • Contoyiannis, Y. Kapiris, P. Eftaxias, K. Monitoring of a preseismic phase from its electromagnetic precursors. Phys. Rev. E. 2005, 71, doi:10.1103/PhysRevE.71.066123.
    • (2005) Phys. Rev. E. , pp. 71
    • Contoyiannis, Y.1    Kapiris, P.2    Eftaxias, K.3
  • 167
    • 33846539703 scopus 로고    scopus 로고
    • Mechanical and electromagnetic phenomena accompanying preseismic deformation: From laboratory to geophysical scale
    • Eftaxias, K. Sgrigna, V. Chelidze, T. Mechanical and electromagnetic phenomena accompanying preseismic deformation: From laboratory to geophysical scale. Tectonophysics. 2007, 431, 1-301.
    • (2007) Tectonophysics , vol.431 , pp. 1-301
    • Eftaxias, K.1    Sgrigna, V.2    Chelidze, T.3
  • 168
    • 0003368718 scopus 로고
    • Testing for nonlinearity in weather records
    • Palǔs, M. Novotńa, D. Testing for nonlinearity in weather records. Phys. Lett. A. 1994, 193, 67-74.
    • (1994) Phys. Lett. A. , vol.193 , pp. 67-74
    • Palǔs, M.1    Novotńa, D.2
  • 169
  • 171
    • 0036946491 scopus 로고    scopus 로고
    • Power-law persistence in the atmosphere and the oceans
    • Bunde, A. Havlin, S. Power-law persistence in the atmosphere and the oceans. Physica A. 2002, 314, 15-24.
    • (2002) Physica A , vol.314 , pp. 15-24
    • Bunde, A.1    Havlin, S.2
  • 173
    • 4244112582 scopus 로고    scopus 로고
    • Global climate models violate scaling of the observed atmospheric variability
    • doi:10.1103/PhysRevLett.89.028501
    • Govindan, R.B. Vjushin, D. Bunde, A. Brenner, S. Havlin, S. Schellnhuber, H.-J. Global climate models violate scaling of the observed atmospheric variability. Phys. Rev. Lett. 2002, 89, doi:10.1103/PhysRevLett.89.028501.
    • (2002) Phys. Rev. Lett. , pp. 89
    • Govindan, R.B.1    Vjushin, D.2    Bunde, A.3    Brenner, S.4    Havlin, S.5    Schellnhuber, H.-J.6
  • 174
    • 77954409195 scopus 로고    scopus 로고
    • Scaling of atmosphere and ocean temperature correlations in observations and climate models
    • doi:10.1103/PhysRevLett.90.108501
    • Fraedrich, K. Blender, R. Scaling of atmosphere and ocean temperature correlations in observations and climate models. Phys. Rev. Lett. 2003, 90, doi:10.1103/PhysRevLett.90.108501.
    • (2003) Phys. Rev. Lett. , vol.90
    • Fraedrich, K.1    Blender, R.2
  • 175
    • 33751061238 scopus 로고    scopus 로고
    • Tsallis non-extensive statistical mechanics of El Ni{ogonek}no southern oscillation index
    • Ausloos, M. Petroni, F. Tsallis non-extensive statistical mechanics of El Ni{ogonek}no southern oscillation index. Physica A. 2007, 373, 721-736.
    • (2007) Physica A , vol.373 , pp. 721-736
    • Ausloos, M.1    Petroni, F.2
  • 176
    • 3042789122 scopus 로고    scopus 로고
    • Dynamical scenario for nonextensive statistical mechanics
    • Tsallis, C. Dynamical scenario for nonextensive statistical mechanics. Physica A. 2004, 340, 1-10.
    • (2004) Physica A , vol.340 , pp. 1-10
    • Tsallis, C.1
  • 177
    • 34249068476 scopus 로고    scopus 로고
    • High frequency (daily) data analysis of the Southern Oscillation Index: Tsallis nonextensive statistical mechanics approach
    • Petroni, F. Ausloos, M. High frequency (daily) data analysis of the Southern Oscillation Index: Tsallis nonextensive statistical mechanics approach. Eur. Phys. J. Spec. Top. 2011, 143, 201-208.
    • (2011) Eur. Phys. J. Spec. Top. , vol.143 , pp. 201-208
    • Petroni, F.1    Ausloos, M.2
  • 178
  • 180
    • 84901253242 scopus 로고    scopus 로고
    • The Complexity of the Fraction of Absorbed Photosynthetically Active Radiation on a Global Scale
    • Diploma Thesis, Norwegian Forest and Landscape Institute, Ås and French National College of Agricultural Sciences and Engineering, Toulouse, France
    • Zemp, D. The Complexity of the Fraction of Absorbed Photosynthetically Active Radiation on a Global Scale. Diploma Thesis, Norwegian Forest and Landscape Institute, Ås and French National College of Agricultural Sciences and Engineering, Toulouse, France, 2012.
    • (2012)
    • Zemp, D.1
  • 181
    • 78651100324 scopus 로고    scopus 로고
    • Analyzing complex networks evolution through Information Theory quantifiers
    • Carpi, L.C. Rosso, O.A. Saco, P.M. Ǵomez Ravetti, M. Analyzing complex networks evolution through Information Theory quantifiers. Phys. Lett. A 2011, 375, 801-804.
    • (2011) Phys. Lett. A. , vol.375 , pp. 801-804
    • Carpi, L.C.1    Rosso, O.A.2    Saco, P.M.3    Ǵomez Ravetti, M.4
  • 182
    • 77956175554 scopus 로고    scopus 로고
    • Entropy analysis of the dynamics of El Niño/Southern Oscillation during the Holocene
    • Saco, P.M. Carpi, L.C. Figliola, A. Serrano, E. Rosso, O.A. Entropy analysis of the dynamics of El Niño/Southern Oscillation during the Holocene. Physica A. 2010, 389, 5022-5027.
    • (2010) Physica A , vol.389 , pp. 5022-5027
    • Saco, P.M.1    Carpi, L.C.2    Figliola, A.3    Serrano, E.4    Rosso, O.A.5
  • 184
    • 84655167589 scopus 로고    scopus 로고
    • Tsallis' statistics in the variability of El Niño/Southern Oscillation during the Holocene epoch
    • Ferri, G.L. Figliola, A. Rosso, O.A. Tsallis' statistics in the variability of El Niño/Southern Oscillation during the Holocene epoch. Physica A. 2012, 391, 2154-2162.
    • (2012) Physica A , vol.391 , pp. 2154-2162
    • Ferri, G.L.1    Figliola, A.2    Rosso, O.A.3
  • 186
    • 0142199391 scopus 로고    scopus 로고
    • Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods
    • Marwan, N. Trauth, M.H. Vuille, M,; Kurths, J. Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods. Clim. Dyn. 2003, 21, 317-326.
    • (2003) Clim. Dyn. , vol.21 , pp. 317-326
    • Marwan, N.1    Trauth, M.H.2    Vuille, M.3    Kurths, J.4
  • 187
  • 188
  • 190
    • 84857541440 scopus 로고    scopus 로고
    • Dynamical regimes and transitions in Plio-Pleistocene Asian monsoon
    • doi:10.1209/0295-5075/97/40009
    • Malik, N. Zou, Y. Marwan, N. Kurths, J. Dynamical regimes and transitions in Plio-Pleistocene Asian monsoon. Europhys. Lett. 2012, 97, doi:10.1209/0295-5075/97/40009.
    • (2012) Europhys. Lett. , pp. 97
    • Malik, N.1    Zou, Y.2    Marwan, N.3    Kurths, J.4
  • 191
    • 17144398443 scopus 로고    scopus 로고
    • Holocene climate variability on millennial scales recorded in Greenland ice cores
    • Witt, A. Schumann, A.Y. Holocene climate variability on millennial scales recorded in Greenland ice cores. Nonlinear Processes Geophys. 2005, 12, 345-352.
    • (2005) Nonlinear Processes Geophys , vol.12 , pp. 345-352
    • Witt, A.1    Schumann, A.Y.2
  • 193
    • 79959690470 scopus 로고    scopus 로고
    • Comparison of correlation analysis techniques for irregularly sampled time series
    • Rehfeld, K. Marwan, N. Heitzig, J. Kurths, J. Comparison of correlation analysis techniques for irregularly sampled time series. Nonlinear Processes Geophys. 2011, 18, 389-404.
    • (2011) Nonlinear Processes Geophys , vol.18 , pp. 389-404
    • Rehfeld, K.1    Marwan, N.2    Heitzig, J.3    Kurths, J.4
  • 194
    • 41549158280 scopus 로고    scopus 로고
    • Land surface response to precipitation events using MODIS and NEXRAD data
    • Brunsell, N.A. Young, C.B. Land surface response to precipitation events using MODIS and NEXRAD data. Int. J. Remote Sens. 2008, 29, 1965-1982.
    • (2008) Int. J. Remote Sens. , vol.29 , pp. 1965-1982
    • Brunsell, N.A.1    Young, C.B.2
  • 195
    • 43949116579 scopus 로고    scopus 로고
    • Assessing the multi-resolution information content of remotely sensed variables and elevation for evapotranspiration in a tall-grass prairie environment
    • Brunsell, N. Ham, J. Owensby, C. Assessing the multi-resolution information content of remotely sensed variables and elevation for evapotranspiration in a tall-grass prairie environment. Remote Sens. Environ. 2008, 112, 2977-2987.
    • (2008) Remote Sens. Environ. , vol.112 , pp. 2977-2987
    • Brunsell, N.1    Ham, J.2    Owensby, C.3
  • 196
    • 67649432616 scopus 로고    scopus 로고
    • Using information theory to determine optimum pixel size and shape for ecological studies: Aggregating land surface characteristics in Arctic ecosystems
    • Stoy, P.C.;Williams, M. Spadavecchia, L. Bell, R.A. Prieto-Blanco, A. Evans, J.G.;Wijk, M.T. Using information theory to determine optimum pixel size and shape for ecological studies: Aggregating land surface characteristics in Arctic ecosystems. Ecosystems. 2009, 12, 574-589.
    • (2009) Ecosystems , vol.12 , pp. 574-589
    • Stoy, P.C.1    Williams, M.2    Spadavecchia, L.3    Bell, R.A.4    Prieto-Blanco, A.5    Evans, J.G.6    Wijk, M.T.7
  • 197
    • 77950862252 scopus 로고    scopus 로고
    • A multiscale information theory approach to assess spatial-temporal variability of daily precipitation
    • Brunsell, N.A. A multiscale information theory approach to assess spatial-temporal variability of daily precipitation. J. Hydrol. 2010, 385, 165-172.
    • (2010) J. Hydrol. , vol.385 , pp. 165-172
    • Brunsell, N.A.1
  • 198
    • 80052020923 scopus 로고    scopus 로고
    • Characterizing the multi-scale spatial structure of remotely sensed evapotranspiration with information theory
    • Brunsell, N.A. Anderson, M.C. Characterizing the multi-scale spatial structure of remotely sensed evapotranspiration with information theory. Biogeosciences. 2011, 8, 2269-2280.
    • (2011) Biogeosciences , vol.8 , pp. 2269-2280
    • Brunsell, N.A.1    Anderson, M.C.2
  • 200
    • 65349145911 scopus 로고    scopus 로고
    • Ecohydrological process networks: I Identification
    • doi:10.1029/2008WR007279
    • Ruddell, B.L. Kumar, P. Ecohydrological process networks: I. Identification. Water Resour. Res. 2009, 45, doi:10.1029/2008WR007279.
    • (2009) Water Resour. Res. , pp. 45
    • Ruddell, B.L.1    Kumar, P.2
  • 201
    • 65349105428 scopus 로고    scopus 로고
    • Ecohydrological process networks: II Analysis and characterization
    • doi:10.1029/2008WR007280
    • Ruddell, B.L. Kumar, P. Ecohydrological process networks: II. Analysis and characterization. Water Resour. Res. 2009, 45, doi:10.1029/2008WR007280.
    • (2009) Water Resour. Res. , pp. 45
    • Ruddell, B.L.1    Kumar, P.2
  • 202
    • 77958187339 scopus 로고    scopus 로고
    • Information driven ecohydrological self-organization
    • Kumar, P. Ruddell, B.L. Information driven ecohydrological self-organization. Entropy. 2010, 12, 2085-2096.
    • (2010) Entropy , vol.12 , pp. 2085-2096
    • Kumar, P.1    Ruddell, B.L.2
  • 203
    • 34447546056 scopus 로고    scopus 로고
    • Untersuchung von Korrelationen, Trends und synchronem Verhalten in Klimazeitreihen
    • Ph.D. Thesis, Justus Liebig University of Gießen, Gießen, Germany
    • Rybski, D. Untersuchung von Korrelationen, Trends und synchronem Verhalten in Klimazeitreihen. Ph.D. Thesis, Justus Liebig University of Gießen, Gießen, Germany, 2006.
    • (2006)
    • Rybski, D.1
  • 204
    • 69549103473 scopus 로고    scopus 로고
    • Climate networks based on phase synchronization analysis track El Niño
    • Yamasaki, K. Gozolchiani, A. Havlin, S. Climate networks based on phase synchronization analysis track El Ni{ogonek}no. Prog. Theor. Phys. Suppl. 2009, 179, 178-188.
    • (2009) Prog. Theor. Phys. Suppl. , vol.179 , pp. 178-188
    • Yamasaki, K.1    Gozolchiani, A.2    Havlin, S.3
  • 205
    • 77956353996 scopus 로고    scopus 로고
    • Spatial structures and directionalities in monsoonal precipitation over south Asia
    • Malik, N. Marwan, N. Kurths, J. Spatial structures and directionalities in monsoonal precipitation over south Asia. Nonlinear Processes Geophys. 2010, 17, 371-381.
    • (2010) Nonlinear Processes Geophys , vol.17 , pp. 371-381
    • Malik, N.1    Marwan, N.2    Kurths, J.3
  • 206
    • 84864380519 scopus 로고    scopus 로고
    • Analysis of spatial and temporal extreme monsoonal rainfall over South Asia using complex networks
    • Malik, N. Bookhagen, B. Marwan, N. Kurths, J. Analysis of spatial and temporal extreme monsoonal rainfall over South Asia using complex networks. Clim. Dyn. 2012, 39, 971-987.
    • (2012) Clim. Dyn. , vol.39 , pp. 971-987
    • Malik, N.1    Bookhagen, B.2    Marwan, N.3    Kurths, J.4
  • 207
    • 0037445334 scopus 로고    scopus 로고
    • Phase synchronization in temperature and precipitation records
    • Rybski, D. Havlin, S. Bunde, A. Phase synchronization in temperature and precipitation records. Physica A. 2003, 320, 601-610.
    • (2003) Physica A , vol.320 , pp. 601-610
    • Rybski, D.1    Havlin, S.2    Bunde, A.3
  • 208
    • 25844448599 scopus 로고    scopus 로고
    • Epochs of phase coherence between El Niño/Southern Oscillation and Indian monsoon
    • doi:10.1029/2005GL023225
    • Maraun, D. Kurths, J. Epochs of phase coherence between El Ni{ogonek}no/Southern Oscillation and Indian monsoon. Geophys. Res. Lett. 2005, 32, doi:10.1029/2005GL023225.
    • (2005) Geophys. Res. Lett. , pp. 32
    • Maraun, D.1    Kurths, J.2
  • 209
    • 68249160767 scopus 로고    scopus 로고
    • Complex networks in climate dynamics Comparing linear and nonlinear network construction methods
    • Donges, J.F. Zou, Y. Marwan, N. Kurths, J. Complex networks in climate dynamics. Comparing linear and nonlinear network construction methods. Eur. Phys. J. Spec. Top. 2009, 174, 157-179.
    • (2009) Eur. Phys. J. Spec. Top. , vol.174 , pp. 157-179
    • Donges, J.F.1    Zou, Y.2    Marwan, N.3    Kurths, J.4
  • 210
    • 79051470486 scopus 로고    scopus 로고
    • The backbone of the climate network
    • doi:10.1209/0295-5075/87/48007
    • Donges, J.F. Zou, Y. Marwan, N. Kurths, J. The backbone of the climate network. Europhys. Lett. 2009, 87, doi:10.1209/0295-5075/87/48007.
    • (2009) Europhys. Lett. , pp. 87
    • Donges, J.F.1    Zou, Y.2    Marwan, N.3    Kurths, J.4
  • 211
    • 79953283661 scopus 로고    scopus 로고
    • Inferring long memory processes in the climate network via ordinal pattern analysis
    • doi:10.1063/1.3545273
    • Barreiro, M. Marti, A.C. Masoller, C. Inferring long memory processes in the climate network via ordinal pattern analysis. Chaos. 2011, 21, doi:10.1063/1.3545273.
    • (2011) Chaos , pp. 21
    • Barreiro, M.1    Marti, A.C.2    Masoller, C.3
  • 212
    • 84879730739 scopus 로고    scopus 로고
    • Inferring interdependencies in climate networks constructed at inter-annual, intra-season and longer time scales
    • Deza, J.I. Barreiro, M. Masoller, C. Inferring interdependencies in climate networks constructed at inter-annual, intra-season and longer time scales. Eur. Phys. J. Spec. Top. 2013, 222, 511-523.
    • (2013) Eur. Phys. J. Spec. Top. , vol.222 , pp. 511-523
    • Deza, J.I.1    Barreiro, M.2    Masoller, C.3
  • 213
    • 84897573038 scopus 로고    scopus 로고
    • Non-linear dependence and teleconnections in climate data: Sources, relevance, nonstationarity
    • doi:10.1007/s00382-013-1780-2. 2013
    • Hlinka, J. Hartman, D. Vejmelka, M. Novotńa, D. Palǔs, M. Non-linear dependence and teleconnections in climate data: Sources, relevance, nonstationarity. Clim. Dyn. 2013, doi:10.1007/s00382-013-1780-2.
    • Clim. Dyn.
    • Hlinka, J.1    Hartman, D.2    Vejmelka, M.3    Novotńa, D.4    Palǔs, M.5
  • 214
    • 84892540968 scopus 로고    scopus 로고
    • Quantifying the strength and delay of climatic interactions: The ambiguities of cross correlation and a novel measure based on graphical models
    • doi: 10.1175/JCLI-D-13-00159.1. 2013
    • Runge, J. Petoukhov, V. Kurths, J. Quantifying the strength and delay of climatic interactions: The ambiguities of cross correlation and a novel measure based on graphical models. J. Clim. 2013, doi: 10.1175/JCLI-D-13-00159.1.
    • J. Clim.
    • Runge, J.1    Petoukhov, V.2    Kurths, J.3
  • 215
    • 0000397542 scopus 로고
    • Atmospheric teleconnections from the equatorial pacific
    • Bjerknes, J. Atmospheric teleconnections from the equatorial pacific. Mon. Weather Rev. 1969, 97, 163-172.
    • (1969) Mon. Weather Rev. , vol.97 , pp. 163-172
    • Bjerknes, J.1
  • 216
    • 0000470576 scopus 로고
    • Correlation in seasonal variations of weathe VIII: A preliminary study of world weather
    • Walker, G.T. Correlation in seasonal variations of weather, VIII: A preliminary study of world weather. Mem. Ind. Meteorol. Dep. 1923, 24, 75-131.
    • (1923) Mem. Ind. Meteorol. Dep. , vol.24 , pp. 75-131
    • Walker, G.T.1
  • 217
    • 0000470576 scopus 로고
    • Correlation in seasonal variations of weather IX: A further study of world weather
    • Walker, G.T. Correlation in seasonal variations of weather, IX: A further study of world weather. Mem. Ind. Meteorol. Dep. 1924, 24, 275-332.
    • (1924) Mem. Ind. Meteorol. Dep. , vol.24 , pp. 275-332
    • Walker, G.T.1
  • 218
    • 0037082641 scopus 로고    scopus 로고
    • Atmospheric circulation cells associated with the El-Ni{ogonek}no-Southern Oscillation
    • Wang, C. Atmospheric circulation cells associated with the El-Ni{ogonek}no-Southern Oscillation. J. Clim. 2002, 15, 399-419.
    • (2002) J. Clim. , vol.15 , pp. 399-419
    • Wang, C.1
  • 219
    • 16644399750 scopus 로고    scopus 로고
    • Detection of climate system bifurcations by degenerate fingerprinting
    • doi:10.1029/2004GL020972
    • Held, H. Kleinen, T. Detection of climate system bifurcations by degenerate fingerprinting. Geophys. Res. Lett. 2004, 31, doi:10.1029/2004GL020972.
    • (2004) Geophys. Res. Lett. , pp. 31
    • Held, H.1    Kleinen, T.2
  • 220
    • 34548036505 scopus 로고    scopus 로고
    • A modified method for detecting incipient bifurcations in a dynamical system
    • doi:10.1029/2006GL028672
    • Livina, V.N. Lenton, T.M. A modified method for detecting incipient bifurcations in a dynamical system. Geophys. Res. Lett. 2007, 34, doi:10.1029/2006GL028672.
    • (2007) Geophys. Res. Lett. , pp. 34
    • Livina, V.N.1    Lenton, T.M.2
  • 223
    • 79958181387 scopus 로고    scopus 로고
    • A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
    • K̈uhn, C. A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics. Physica D 2011, 240, 1020-1035.
    • (2011) Physica D , vol.240 , pp. 1020-1035
    • K̈uhn, C.1
  • 224
    • 0033100060 scopus 로고    scopus 로고
    • Scaling, universality, and renormalization: Three pillars of modern critical phenomena
    • Stanley, H.E. Scaling, universality, and renormalization: Three pillars of modern critical phenomena. Rev. Mod. Phys. 1999, 71, S358-S366.
    • (1999) Rev. Mod. Phys. , vol.71
    • Stanley, H.E.1
  • 226
    • 3342946273 scopus 로고    scopus 로고
    • Occurrence of finite-time singularities in epidemic models of rupture, earthquakes, and starquakes
    • doi: 10.1103/PhysRevLett.89.158501
    • Sornette, D. Helmstetter, A. Occurrence of finite-time singularities in epidemic models of rupture, earthquakes, and starquakes. Phys. Rev. Lett. 2002, 89, doi: 10.1103/PhysRevLett.89.158501.
    • (2002) Phys. Rev. Lett. , pp. 89
    • Sornette, D.1    Helmstetter, A.2
  • 227
    • 0037133145 scopus 로고    scopus 로고
    • Predictability of catastrophic events: Material rupture, earthquakes, turbulence, financial crashes and human birth
    • Sornette, D. Predictability of catastrophic events: Material rupture, earthquakes, turbulence, financial crashes and human birth. Proc. Natl. Acad. Sci. USA 2002, 99, 2522-2529.
    • (2002) Proc. Natl. Acad. Sci. USA. , vol.99 , pp. 2522-2529
    • Sornette, D.1
  • 228
    • 0034167801 scopus 로고    scopus 로고
    • Similarities of multiple fracturing on a neutron star and on Earth
    • Kossobokov, V. Keillis-Borok, V. Cheng, B. Similarities of multiple fracturing on a neutron star and on Earth. Phys. Rev. E 2000, 61, 3529-3533.
    • (2000) Phys. Rev. E. , vol.61 , pp. 3529-3533
    • Kossobokov, V.1    Keillis-Borok, V.2    Cheng, B.3
  • 229
    • 33144486347 scopus 로고    scopus 로고
    • Universality in solar flare and earthquake occurrence
    • doi:10.1103/PhysRevLett.96.051102
    • De Arcangelis, L. Godano, C. Lippiello, E. Nicodemi, M. Universality in solar flare and earthquake occurrence. Phys. Rev. Lett. 2006, 96, doi:10.1103/PhysRevLett.96.051102.
    • (2006) Phys. Rev. Lett. , pp. 96
    • De Arcangelis, L.1    Godano, C.2    Lippiello, E.3    Nicodemi, M.4
  • 230
    • 78649324655 scopus 로고    scopus 로고
    • Universality in solar flare, magnetic storm and earthquake dynamics using Tsallis statistical mechanics
    • Balasis, G. Daglis, I.A. Anastasiadis, A. Papadimitriou, C. Mandea, M. Eftaxias, K. Universality in solar flare, magnetic storm and earthquake dynamics using Tsallis statistical mechanics. Physica A 2011, 390, 341-346.
    • (2011) Physica A , vol.390 , pp. 341-346
    • Balasis, G.1    Daglis, I.A.2    Anastasiadis, A.3    Papadimitriou, C.4    Mandea, M.5    Eftaxias, K.6
  • 233
    • 84876723012 scopus 로고    scopus 로고
    • Detecting and attribution of large spatiotemporal extreme events in Earth observation data
    • Zscheischler, J. Mahecha, M.D. Harmeling, S. Reichstein, M. Detecting and attribution of large spatiotemporal extreme events in Earth observation data. Ecol. Inform. 2013, 15, 66-73.
    • (2013) Ecol. Inform. , vol.15 , pp. 66-73
    • Zscheischler, J.1    Mahecha, M.D.2    Harmeling, S.3    Reichstein, M.4
  • 234
    • 80052322019 scopus 로고    scopus 로고
    • An information theory approach to the storm-substorm relationship
    • doi:10.1029/2011JA016535
    • De Michelis, P. Consolini, G. Materassi, M. Tozzi, R. An information theory approach to the storm-substorm relationship. J. Geophys. Res. 2011, 116, doi:10.1029/2011JA016535.
    • (2011) J. Geophys. Res. , pp. 116
    • De Michelis, P.1    Consolini, G.2    Materassi, M.3    Tozzi, R.4
  • 235
    • 84875228117 scopus 로고    scopus 로고
    • A complex network model for seismicity based on mutual information
    • doi: 10.1016/j.physa.2013.01.062
    • Jimenez, A. A complex network model for seismicity based on mutual information. Physica A 2013, 10, 2498-2506, doi: 10.1016/j.physa.2013.01.062.
    • (2013) Physica A , vol.10 , pp. 2498-2506
    • Jimenez, A.1
  • 237
    • 80052248386 scopus 로고    scopus 로고
    • Early warning of climate tipping points
    • Lenton, T.M. Early warning of climate tipping points. Nat. Clim. Chang. 2011, 1, 201-209.
    • (2011) Nat. Clim. Chang , vol.1 , pp. 201-209
    • Lenton, T.M.1


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