메뉴 건너뛰기




Volumn 12, Issue 6, 2005, Pages 767-774

Scalling collapse and structure functions: Identifying self-affinity in finite length time series

Author keywords

[No Author keywords available]

Indexed keywords

SCALE EFFECT; TIME SERIES ANALYSIS;

EID: 30744448162     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-12-767-2005     Document Type: Article
Times cited : (39)

References (38)
  • 1
    • 0035968842 scopus 로고    scopus 로고
    • Dynamical foundations of nonextensive statistical mechanics
    • doi:10.1103/PhysRevLett.87.180601
    • Beck, C.: Dynamical foundations of nonextensive statistical mechanics, Phys. Rev. Lett., 87, doi:10.1103/PhysRevLett.87.180601, 2001.
    • (2001) Phys. Rev. Lett. , vol.87
    • Beck, C.1
  • 2
    • 0035146221 scopus 로고    scopus 로고
    • Avalanching and Self Organised Criticality: A paradigm for magnetospheric dynamics?
    • Chapman, S. C. and Watkins, M. W.: Avalanching and Self Organised Criticality: a paradigm for magnetospheric dynamics?, Space Sci. Rev., 95, 293-307, 2001.
    • (2001) Space Sci. Rev. , vol.95 , pp. 293-307
    • Chapman, S.C.1    Watkins, M.W.2
  • 4
    • 0000192143 scopus 로고    scopus 로고
    • Multifractal structure of auroral electrojet index data
    • Consolini, G., Marcucci, M. F., and Candidi, M.: Multifractal structure of auroral electrojet index data, Phys. Rev. Lett., 76, 4082-4085, 1996.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4082-4085
    • Consolini, G.1    Marcucci, M.F.2    Candidi, M.3
  • 5
    • 0032216094 scopus 로고    scopus 로고
    • Non-Gaussian distribution function of A E index fluctuations: Evidence for time intermittency
    • Consolini, G. and De Michelis, P.: Non-Gaussian distribution function of A E index fluctuations: Evidence for time intermittency, Geophys. Res. Lett., 25, 4087-4090, 1998.
    • (1998) Geophys. Res. Lett. , vol.25 , pp. 4087-4090
    • Consolini, G.1    De Michelis, P.2
  • 6
    • 0034352438 scopus 로고    scopus 로고
    • Evidence for a solar wind origin of the power law burst lifetime distribution of the A E indices
    • Freeman, M. P., Watkins, N. W., and Riley, D. J.: Evidence for a solar wind origin of the power law burst lifetime distribution of the A E indices, Geophys. Res. Lett.,27, 1087-1090, 2000.
    • (2000) Geophys. Res. Lett. , vol.27 , pp. 1087-1090
    • Freeman, M.P.1    Watkins, N.W.2    Riley, D.J.3
  • 7
    • 0003456257 scopus 로고
    • Turbulence, The legacy of A. N. Kolmogorov
    • Cambridge University Press, Cambridge
    • Frisch U.: Turbulence, The legacy of A. N. Kolmogorov, Cambridge University Press, Cambridge, 1995.
    • (1995)
    • Frisch, U.1
  • 9
    • 0037095852 scopus 로고    scopus 로고
    • Finite size scaling in the solar wind magnetic field energy density as seen by WIND
    • doi:10.1029/2001GL014587
    • Hnat, B., Chapman, S. C., Rowlands, G., Watkins, N. W., and Farrell, W. M.: Finite size scaling in the solar wind magnetic field energy density as seen by WIND, Geophys. Res. Lett., 29, 1446, doi:10.1029/ 2001GL014587, 2002.
    • (2002) Geophys. Res. Lett. , vol.29 , pp. 1446
    • Hnat, B.1    Chapman, S.C.2    Rowlands, G.3    Watkins, N.W.4    Farrell, W.M.5
  • 10
    • 0942267345 scopus 로고    scopus 로고
    • Scaling in long term data sets of geomagnetic indices and solar wind ε as seen by WIND spacecraft
    • doi:10.1029/2003GL018209
    • Hnat, B., Chapman, S. C., Rowlands, G., Watkins, N. W., and Freeman, M. P.: Scaling in long term data sets of geomagnetic indices and solar wind ε as seen by WIND spacecraft, Gȩophys. Res. Lett., 30, 2174, doi:10.1029/2003GL018209 2003a.
    • (2003) Gȩophys. Res. Lett. , vol.30 , pp. 2174
    • Hnat, B.1    Chapman, S.C.2    Rowlands, G.3    Watkins, N.W.4    Freeman, M.P.5
  • 11
    • 33645586326 scopus 로고    scopus 로고
    • Intermittency, scaling, and the Fokker-Planck approach to fluctuations of the solar wind bulk plasma parameters as seen by the WIND spacecraft
    • Hnat, B., Chapman, S. C., and Rowlands, G.: Intermittency, scaling, and the Fokker-Planck approach to fluctuations of the solar wind bulk plasma parameters as seen by the WIND spacecraft, Phys. Rev. E, 67, 056404-056412, 2003b.
    • (2003) Phys. Rev. E , vol.67 , pp. 056404-056412
    • Hnat, B.1    Chapman, S.C.2    Rowlands, G.3
  • 12
    • 33746324510 scopus 로고    scopus 로고
    • Scaling and a Fokker-Planck model for fluctuations in geomagnetic indices and comparison with solar wind epsilon as seen by WIND and ACE
    • in press
    • Hnat, B., Chapman, S. C., and Rowlands, G.: Scaling and a Fokker-Planck model for fluctuations in geomagnetic indices and comparison with solar wind epsilon as seen by WIND and ACE, J. Geophys. Res., in press, 2005.
    • (2005) J. Geophys. Res.
    • Hnat, B.1    Chapman, S.C.2    Rowlands, G.3
  • 13
    • 0000884849 scopus 로고    scopus 로고
    • Structure function measurements of the intermittent MHD turbulent cascade
    • SRef-ID: 1607-7946/npg/1997-4-185
    • Horbury T. S. and Balogh, A.: Structure function measurements of the intermittent MHD turbulent cascade, Nonlin. Processes Geophys., 4, 185-199, 1997, SRef-ID: 1607-7946/npg/1997-4-185.
    • (1997) Nonlin. Processes Geophys. , vol.4 , pp. 185-199
    • Horbury, T.S.1    Balogh, A.2
  • 14
    • 0035480323 scopus 로고    scopus 로고
    • Wavelet-based filtering of intermittent events from geomagnetic time series
    • Kovács, P., Carbone, V., and Vörös, Z.: Wavelet-based filtering of intermittent events from geomagnetic time series, Planetary and Space Science, 49, 1219-1231, 2001.
    • (2001) Planetary and Space Science , vol.49 , pp. 1219-1231
    • Kovács, P.1    Carbone, V.2    Vörös, Z.3
  • 15
    • 0010286926 scopus 로고    scopus 로고
    • Gaussian Self-Affinity and Fractals: Globality
    • 1/f Noise and R/S Springer-Verlag, Berlin
    • Mandelbrot, B. B.: Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise and R/S, Springer-Verlag, Berlin, 2002.
    • (2002) The Earth
    • Mandelbrot, B.B.1
  • 16
    • 8344223565 scopus 로고
    • Scaling Behavior in the Dynamics of an Economic Index
    • Mantegna, R. N. and Stanley, H. E.: Scaling Behavior in the Dynamics of an Economic Index, Nature, 376, 46-49, 1995.
    • (1995) Nature , vol.376 , pp. 46-49
    • Mantegna, R.N.1    Stanley, H.E.2
  • 17
    • 30744449610 scopus 로고    scopus 로고
    • Multipoint measurements versus theory
    • ESA Report SP-492
    • Mangeney, A., Salem, C., Veltri, P. L., and Cecconi, B.: in: Multipoint measurements versus theory, ESA report SP-492, 492, 2001.
    • (2001) , pp. 492
    • Mangeney, A.1    Salem, C.2    Veltri, P.L.3    Cecconi, B.4
  • 18
    • 0034723628 scopus 로고    scopus 로고
    • Multiscaling Properties of Truncated Lévy Flights
    • Nakao, H.: Multiscaling Properties of Truncated Lévy Flights, Phys. Lett. A, 266, 282-289, 2000.
    • (2000) Phys. Lett. A , vol.266 , pp. 282-289
    • Nakao, H.1
  • 20
    • 0035581355 scopus 로고    scopus 로고
    • Fractional Fokker-Planck equation for nonlinear stochastic differentisl equations driven by non-Gaussian Lévy stable noises
    • Schertzer, D., Larcheveque, M., Duan, J., Yanovsky, V. V., and Lovejoy, S.: Fractional Fokker-Planck equation for nonlinear stochastic differentisl equations driven by non-Gaussian Lévy stable noises, J. Math. Phys., 42, 200-212, 2001.
    • (2001) J. Math. Phys. , vol.42 , pp. 200-212
    • Schertzer, D.1    Larcheveque, M.2    Duan, J.3    Yanovsky, V.V.4    Lovejoy, S.5
  • 22
    • 0035475031 scopus 로고    scopus 로고
    • Modeling of Lévy processes by data analysis
    • doi:10.1103/PhysRevE.64.041107
    • Siegert, S. and Friedrich, R.: Modeling of Lévy processes by data analysis, Phys. Rev. E, 64, doi:10.1103/PhysRevE.64.041107, 2001.
    • (2001) Phys. Rev. E , vol.64
    • Siegert, S.1    Friedrich, R.2
  • 25
    • 0037660711 scopus 로고    scopus 로고
    • Intermittency of magnetospheric dynamics through non-Gaussian distribution function of PC-index fluctuations
    • doi:10.1029/2002GL016070
    • Stepanova, M. V., Antonova, E. E., and Troshichev, O.: Intermittency of magnetospheric dynamics through non-Gaussian distribution function of PC-index fluctuations, Geophys. Res. Lett., 20 30, 1127, doi:10.1029/ 2002GL016070, 2003.
    • (2003) Geophys. Res. Lett. , vol.20 , Issue.30 , pp. 1127
    • Stepanova, M.V.1    Antonova, E.E.2    Troshichev, O.3
  • 26
    • 85005722049 scopus 로고
    • Correlation dimension and affinity of A E data and bicolored noise
    • Takalo, J., Timonen, J., and Koskinen, H.: Correlation dimension and affinity of A E data and bicolored noise, Geophys. Res. Lett., 20, 1527-1530, 1993.
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 1527-1530
    • Takalo, J.1    Timonen, J.2    Koskinen, H.3
  • 27
    • 0032099253 scopus 로고    scopus 로고
    • Comparison of the dynamics of the AU and P C indices
    • Takalo, J. and Timonen, J.: Comparison of the dynamics of the AU and P C indices, Geophys. Res. Lett., 25, 2101-2104, 1998.
    • (1998) Geophys. Res. Lett. , vol.25 , pp. 2101-2104
    • Takalo, J.1    Timonen, J.2
  • 29
    • 0011247057 scopus 로고
    • MHD Structures, waves and turbulence in the solar wind: Observations and theories
    • Tu, C. -Y. and Marsch, E.: MHD Structures, waves and turbulence in the solar wind: Observations and theories, Space Sci. Rev. 73, 1-2, 1-210, 1995.
    • (1995) Space Sci. Rev. , vol.73 , Issue.1-2 , pp. 1-210
    • Tu, C.-Y.1    Marsch, E.2
  • 30
    • 0006286541 scopus 로고    scopus 로고
    • Low frequency 1/f-like fluctuations of the A E index as a possible manifestation of self-organized criticality in the magnetosphere
    • SRef-ID: 1432-0576/ag/1998-16-1580
    • Uritsky V. M. and Pudovkin, M. I.: Low frequency 1/f-like fluctuations of the A E index as a possible manifestation of self-organized criticality in the magnetosphere, Ann. Geophys., 16, 12, 1580-1588, 1998, SRef-ID: 1432-0576/ag/1998-16-1580.
    • (1998) Ann. Geophys. , vol.16 , Issue.12 , pp. 1580-1588
    • Uritsky, V.M.1    Pudovkin, M.I.2
  • 31
    • 0035474964 scopus 로고    scopus 로고
    • Comparative study of dynamical critical scaling in the auroral electrojet index versus solar wind fluctuations
    • Uritsky, V. M., Klimas, A. J., and Vassiliadis, D.: Comparative study of dynamical critical scaling in the auroral electrojet index versus solar wind fluctuations, Geophys. Res. Lett., 28, 3809-3812, 2001.
    • (2001) Geophys. Res. Lett. , vol.28 , pp. 3809-3812
    • Uritsky, V.M.1    Klimas, A.J.2    Vassiliadis, D.3
  • 33
    • 0036214321 scopus 로고    scopus 로고
    • Scaling and singularity characteristics of solar wind and magnetospheric fluctuations
    • SRef-ID: 1607-7946/npg/2002-9-149
    • Vörös, Z., Jankovičová, D., and Kovács, P.: Scaling and singularity characteristics of solar wind and magnetospheric fluctuations, Nonlin. Processes Geophys., 9, 2, 149-162, 2002, SRef-ID: 1607-7946/npg/2002-9-149.
    • (2002) Nonlin. Processes Geophys. , vol.9 , Issue.2 , pp. 149-162
    • Vörös, Z.1    Jankovičová, D.2    Kovács, P.3
  • 34
    • 0348050747 scopus 로고    scopus 로고
    • Ambiguities in determination of self-affinity in the A E index time series
    • Watkins, N. W., Freeman, M. P., Rhodes, C. S., and Rowlands, G.: Ambiguities in determination of self-affinity in the A E index time series, Fractals, 9, 471-479, 2001.
    • (2001) Fractals , vol.9 , pp. 471-479
    • Watkins, N.W.1    Freeman, M.P.2    Rhodes, C.S.3    Rowlands, G.4
  • 35
    • 1542545612 scopus 로고    scopus 로고
    • Probability distribution invariance of 1 - Minute auroral-zone geomagnetic field fluctuations
    • 23, doi:10.1029/2003GL018470
    • Weigel, R. S. and Baker, D. N.: Probability distribution invariance of 1-minute auroral-zone geomagnetic field fluctuations, Geophys. Res. Lett., 20 30, 23, 2193, doi:10.1029/2003GL018470, 2003a.
    • (2003) Geophys. Res. Lett. , vol.20 , Issue.30 , pp. 2193
    • Weigel, R.S.1    Baker, D.N.2
  • 36
    • 0001591958 scopus 로고
    • Problems in physics with many scales of length
    • Wilson, K. G.: Problems in physics with many scales of length, Scientific American, 241, 140, 158-179, 1979.
    • (1979) Scientific American , vol.241 , Issue.140 , pp. 158-179
    • Wilson, K.G.1
  • 37
    • 0031557252 scopus 로고    scopus 로고
    • Local transport coefficients for chaotic systems
    • Yannacopoulos, A. N. and Rowlands, G.: Local transport coefficients for chaotic systems, J. Phys. A Math. Gen. 30, 1503-1525, 1997.
    • (1997) J. Phys. A Math. Gen. , vol.30 , pp. 1503-1525
    • Yannacopoulos, A.N.1    Rowlands, G.2
  • 38
    • 0001869708 scopus 로고
    • From Lévy flights to the Fractional Kinetic Equation for dynamical chaos
    • France, 27-30 June, 1994, edited by: Shlesinger, M. F., Zaslavsky, G. M., and Frisch, J., Lecture Notes in Physics, 450, Springer-Verlag, Berlin
    • Zaslavsky, G. M.: From Lévy flights to the Fractional Kinetic Equation for dynamical chaos, 216, p. in: Lévy flights and related topics in physics: proc. int. workshop Nice, France, 27-30 June, 1994, edited by: Shlesinger, M. F., Zaslavsky, G. M., and Frisch, J., Lecture Notes in Physics, 450, Springer-Verlag, Berlin, 1995.
    • (1995) Lévy Flights and Related Topics in Physics: Proc. Int. Workshop Nice , pp. 216
    • Zaslavsky, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.