메뉴 건너뛰기




Volumn 16, Issue 4, 2011, Pages 29-38

Generating signals with multiscale time irreversibility: The asymmetric weierstrass function

Author keywords

Arrow of time; Irreversibility; Multiscale analysis of time series; Multiscale time asymmetry; Sawtooth function; Weierstrass function

Indexed keywords


EID: 79952745087     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.20333     Document Type: Article
Times cited : (20)

References (47)
  • 1
    • 0016631803 scopus 로고
    • Time-reversibility of linear stochastic processes
    • Weiss, G. Time-reversibility of linear stochastic processes. J Appl Probab 1975, 12, 831-836.
    • (1975) J Appl Probab , vol.12 , pp. 831-836
    • Weiss, G.1
  • 2
    • 33645086202 scopus 로고
    • Reversibility as a criterion for discriminating time-series
    • Diks, C.;Vanhouwelingen, J.C.;Takens, F.;Degoede, J. Reversibility as a criterion for discriminating time-series. Phys Lett A 1995, 201, 221-228.
    • (1995) Phys Lett A , vol.201 , pp. 221-228
    • Diks, C.1    Vanhouwelingen, J.C.2    Takens, F.3    Degoede, J.4
  • 3
    • 0030438625 scopus 로고    scopus 로고
    • Detecting time's arrow: A method for identifying nonlinearity and deterministic chaos in time-series data
    • Stone, L.;Landan, G.;May, R.M. Detecting time's arrow: A method for identifying nonlinearity and deterministic chaos in time-series data. Proc R Soc London Ser B: Biol Sci 1996, 263, 1509-1513.
    • (1996) Proc R Soc London Ser B: Biol Sci , vol.263 , pp. 1509-1513
    • Stone, L.1    Landan, G.2    May, R.M.3
  • 5
    • 28844449384 scopus 로고    scopus 로고
    • Broken asymmetry of the human heartbeat: Loss of time irreversibility in aging and disease
    • Costa, M.;Goldberger, A.L.;Peng, C.K. Broken asymmetry of the human heartbeat: Loss of time irreversibility in aging and disease. Phys Rev Lett 2005, 95, 198102-198104.
    • (2005) Phys Rev Lett , vol.95 , pp. 198102-198104
    • Costa, M.1    Goldberger, A.L.2    Peng, C.K.3
  • 6
    • 42649115762 scopus 로고    scopus 로고
    • Multiscale analysis of heart rate dynamics: Entropy and time irreversibility measures
    • Costa, M.D.;Peng, C.K.;Goldberger, A.L. Multiscale analysis of heart rate dynamics: Entropy and time irreversibility measures. Cardiovasc Eng 2008, 8, 88-93.
    • (2008) Cardiovasc Eng , vol.8 , pp. 88-93
    • Costa, M.D.1    Peng, C.K.2    Goldberger, A.L.3
  • 7
    • 44949159695 scopus 로고    scopus 로고
    • Multiple testing strategy for the detection of temporal irreversibility in stationary time series
    • Casali, K.R.;Casali, A.G.;Montano, N.;Irigoyen, M.C.;Macagnan, F.;Guzzetti, S.;Porta, A. Multiple testing strategy for the detection of temporal irreversibility in stationary time series. Phys Rev E 2008, 77, 066204-066207.
    • (2008) Phys Rev E , vol.77 , pp. 066204-066207
    • Casali, K.R.1    Casali, A.G.2    Montano, N.3    Irigoyen, M.C.4    Macagnan, F.5    Guzzetti, S.6    Porta, A.7
  • 8
    • 33847647915 scopus 로고    scopus 로고
    • Irreversibility and fluctuation theorem in stationary time series
    • Porporato, A.;Rigby, J.R.;Daly, E. Irreversibility and fluctuation theorem in stationary time series. Phys Rev Lett 2007, 98, 094101-094104.
    • (2007) Phys Rev Lett , vol.98 , pp. 094101-094104
    • Porporato, A.1    Rigby, J.R.2    Daly, E.3
  • 12
    • 33846511827 scopus 로고    scopus 로고
    • Time reversal, symbolic series and irreversibility of human heartbeat
    • Cammarota, C.;Rogora, E. Time reversal, symbolic series and irreversibility of human heartbeat. Chaos, Solitons & Fractals 2007, 32, 1649-1654.
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 1649-1654
    • Cammarota, C.1    Rogora, E.2
  • 13
    • 0000964709 scopus 로고    scopus 로고
    • Time reversibility of intracranial human EEG recordings in mesial temporal lobe epilepsy
    • van der Heyden, M.J.;Diks, C.;Pijn, J.P.M.;Velis, D.N. Time reversibility of intracranial human EEG recordings in mesial temporal lobe epilepsy. Phys Lett A 1996, 216, 283-288.
    • (1996) Phys Lett A , vol.216 , pp. 283-288
    • van der Heyden, M.J.1    Diks, C.2    Pijn, J.P.M.3    Velis, D.N.4
  • 14
    • 0032530290 scopus 로고    scopus 로고
    • Low doses of ethanol reduce evidence for nonlinear structure in brain activity
    • Ehlers, C.L.;Havstad, J.;Prichard, D.;Theiler, J. Low doses of ethanol reduce evidence for nonlinear structure in brain activity. J Neurosci 1998, 18, 7474-7486.
    • (1998) J Neurosci , vol.18 , pp. 7474-7486
    • Ehlers, C.L.1    Havstad, J.2    Prichard, D.3    Theiler, J.4
  • 15
    • 0033975431 scopus 로고    scopus 로고
    • Using time domain characteristics to discriminate physiologic and Parkinsonian tremors
    • Edwards, R.;Beuter, A. Using time domain characteristics to discriminate physiologic and Parkinsonian tremors. J Clin Neurophysiol 2000, 17, 87-100.
    • (2000) J Clin Neurophysiol , vol.17 , pp. 87-100
    • Edwards, R.1    Beuter, A.2
  • 18
    • 65549092806 scopus 로고    scopus 로고
    • Assessment of cardiovascular regulation through irreversibility analysis of heart period variability: A 24 hours Holter study in healthy and chronic heart failure populations
    • Porta, A.;D'addio, G.;Bassani, T.;Maestri, R.;Pinna, G.D. Assessment of cardiovascular regulation through irreversibility analysis of heart period variability: A 24 hours Holter study in healthy and chronic heart failure populations. Phil Trans Math Phys Eng Sci 2009, 36792, 1359-1375.
    • (2009) Phil Trans Math Phys Eng Sci , pp. 1359-1375
    • Porta, A.1    D'addio, G.2    Bassani, T.3    Maestri, R.4    Pinna, G.D.5
  • 19
    • 0009018411 scopus 로고
    • On continuous functions of a real argument that do not have a well-defined differential quotient (1872)
    • In: ; Edgar, G.A. Ed; Reading, MA: Addison-Wesley
    • Weierstrass, K. On continuous functions of a real argument that do not have a well-defined differential quotient (1872). In: Classics on Fractals; Edgar, G.A. Ed; Reading, MA: Addison-Wesley, 1993; pp 2-9.
    • (1993) Classics on Fractals , pp. 2-9
    • Weierstrass, K.1
  • 25
    • 0004255104 scopus 로고
    • Peitgen, H.-O.;Saupe, D., Eds. ; Springer-Verlag: New York, p .
    • Peitgen, H.-O.;Saupe, D., Eds. The Science of Fractal Images; Springer-Verlag: New York, 1988; p 312.
    • (1988) The Science of Fractal Images , pp. 312
  • 26
    • 0000826876 scopus 로고
    • A simple example of a continuous function without derivative
    • Takagi, T. A simple example of a continuous function without derivative. Proc Phys Math Jpn 1903, 1, 176-177.
    • (1903) Proc Phys Math Jpn , vol.1 , pp. 176-177
    • Takagi, T.1
  • 28
    • 21944451974 scopus 로고    scopus 로고
    • The Hausdorff dimension of graphs of Weierstrass functions
    • Hunt, B.R. The Hausdorff dimension of graphs of Weierstrass functions. Proc Am Math Soc 1998, 126, 791-800.
    • (1998) Proc Am Math Soc , vol.126 , pp. 791-800
    • Hunt, B.R.1
  • 29
    • 1842722362 scopus 로고    scopus 로고
    • Multiscale entropy analysis of complex physiologic time series
    • Costa, M.;Goldberger, A.L.;Peng, C.K. Multiscale entropy analysis of complex physiologic time series. Phys Rev Lett 2002, 89, 068102-068104.
    • (2002) Phys Rev Lett , vol.89 , pp. 068102-068104
    • Costa, M.1    Goldberger, A.L.2    Peng, C.K.3
  • 31
    • 0039657305 scopus 로고    scopus 로고
    • Construction of continuous functions with prescribed local regularity
    • Daoudi, K.;Vehel, J.L.;Meyer, Y. Construction of continuous functions with prescribed local regularity. Constr Approx 1998, 14, 349-385.
    • (1998) Constr Approx , vol.14 , pp. 349-385
    • Daoudi, K.1    Vehel, J.L.2    Meyer, Y.3
  • 32
    • 34249706360 scopus 로고    scopus 로고
    • An algorithm for the characterization of time-series based on local regularity
    • Loutridis, S.J. An algorithm for the characterization of time-series based on local regularity. Phys A: Stat Mech Appl 2007, 381, 383-398.
    • (2007) Phys A: Stat Mech Appl , vol.381 , pp. 383-398
    • Loutridis, S.J.1
  • 33
    • 37049242874 scopus 로고
    • New Method for Heart Studies: Continuous electrocardiography of active subjects over long periods is now practical
    • Holter, N.J. New Method for Heart Studies: Continuous electrocardiography of active subjects over long periods is now practical. Science 1961, 134, 1214-1220.
    • (1961) Science , vol.134 , pp. 1214-1220
    • Holter, N.J.1
  • 34
    • 79952774811 scopus 로고    scopus 로고
    • Continuous Nowhere Differentiable Functions (MS Thesis). Lulea: Lulea University of Technology
    • Thim, J. Continuous Nowhere Differentiable Functions (MS Thesis). Lulea: Lulea University of Technology, 2003.
    • (2003)
    • Thim, J.1
  • 35
    • 33751094585 scopus 로고
    • An everywhere continuous nowhere differentiable function
    • McCarthy, J. An everywhere continuous nowhere differentiable function. Am Math Mon 1953, 60, 709.
    • (1953) Am Math Mon , vol.60 , pp. 709
    • McCarthy, J.1
  • 36
    • 79952758989 scopus 로고
    • Ein einfaches Verfahren zur Bildüng stetiger nirgends differenzierbarer Funktionen
    • Knopp, K. Ein einfaches Verfahren zur Bildüng stetiger nirgends differenzierbarer Funktionen. Math Z 1918, 6, 118-123.
    • (1918) Math Z , vol.6 , pp. 118-123
    • Knopp, K.1
  • 38
    • 0026057076 scopus 로고
    • Calculation of a Constant-Q Spectral Transform
    • Brown, J.C. Calculation of a Constant-Q Spectral Transform. J Acoust Soc Am 1991, 89, 425-434.
    • (1991) J Acoust Soc Am , vol.89 , pp. 425-434
    • Brown, J.C.1
  • 39
    • 1642403059 scopus 로고    scopus 로고
    • Abrupt climate change: Chaos and order at orbital and millennial scales
    • Rial, J.A. Abrupt climate change: Chaos and order at orbital and millennial scales. Global Planet Change, 2004, 41, 95-109.
    • (2004) Global Planet Change, , vol.41 , pp. 95-109
    • Rial, J.A.1
  • 41
    • 0042975165 scopus 로고    scopus 로고
    • Flow level simulation of large IP networks. Presented at INFOCOM 2003, 22nd Annual Joint Conference of the IEEE Computer and Communications Societies; San Francisco, CA: IEEE .
    • Baccelli, F.;Hong, D. Flow level simulation of large IP networks. Presented at INFOCOM 2003, 22nd Annual Joint Conference of the IEEE Computer and Communications Societies; San Francisco, CA: IEEE 2003.
    • (2003)
    • Baccelli, F.1    Hong, D.2
  • 42
    • 0038999839 scopus 로고    scopus 로고
    • The decay of multiscale signals-a deterministic model of Burgers turbulence
    • Gurbatov, S.N.;Troussov, A.V. The decay of multiscale signals-a deterministic model of Burgers turbulence. Phys D: Nonlinear Phenom 2000, 145, 47-64.
    • (2000) Phys D: Nonlinear Phenom , vol.145 , pp. 47-64
    • Gurbatov, S.N.1    Troussov, A.V.2
  • 43
    • 0031194477 scopus 로고    scopus 로고
    • The fractal character of processed metal surfaces
    • He, L.;Zhu, J. The fractal character of processed metal surfaces. Wear 1997, 208, 17-24.
    • (1997) Wear , vol.208 , pp. 17-24
    • He, L.1    Zhu, J.2
  • 44
    • 34247153920 scopus 로고    scopus 로고
    • Electrostatic forces in micromanipulations: Review of analytical models and simulations including roughness
    • Lhernould, M.S.;Delchambre, A.;Regnier, S.;Lambert, P. Electrostatic forces in micromanipulations: Review of analytical models and simulations including roughness. Appl Surf Sci 2007, 253, 6203-6210.
    • (2007) Appl Surf Sci , vol.253 , pp. 6203-6210
    • Lhernould, M.S.1    Delchambre, A.2    Regnier, S.3    Lambert, P.4
  • 45
    • 0001753863 scopus 로고    scopus 로고
    • Transport properties in disordered ratchet potentials
    • Marchesoni, F. Transport properties in disordered ratchet potentials. Phys Rev E 1997, 56, 2492.
    • (1997) Phys Rev E , vol.56 , pp. 2492
    • Marchesoni, F.1
  • 46
    • 60749128340 scopus 로고    scopus 로고
    • Noise-induced transport in a rough ratchet potential
    • Mondal, D.;Ghosh, P.K.;Ray, D.S. Noise-induced transport in a rough ratchet potential. J Chem Phys 2009, 130, 074703-074707.
    • (2009) J Chem Phys , vol.130 , pp. 074703-074707
    • Mondal, D.1    Ghosh, P.K.2    Ray, D.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.