메뉴 건너뛰기




Volumn 69, Issue 1-2, 2012, Pages 263-273

Multifractal Detrended Cross-Correlation Analysis of BVP model time series

Author keywords

Autocorrelation; Bonhoeffer van der Pol (BVP) model; Cross correlation; Multifractal Detrended Cross Correlation Analysis (MF DCCA); Multifractality

Indexed keywords

BIOLOGICAL PROCESS; BONHOEFFER-VAN DER POL MODELS; CONTINUOUS TIME; CROSS CORRELATIONS; CROSS-CORRELATION ANALYSIS; LONG RANGE; MULTI FRACTALS; MULTIFRACTALITY; NONLINEAR BEHAVIOR; SCALING EXPONENT; TOPOLOGICAL PROPERTIES;

EID: 84861754755     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0262-5     Document Type: Article
Times cited : (29)

References (33)
  • 1
    • 4344700133 scopus 로고    scopus 로고
    • Oscillations in large-scale cortical networks: Map-based model
    • DOI 10.1023/B:JCNS.0000037683.55688.7e
    • N.F. Rulkov I. Timofeev M. Bazhenov 2004 Oscillations in large-scale cortical networks: map-based model J. Comput. Neurosci. 17 203 233 10.1023/B:JCNS.0000037683.55688.7e (Pubitemid 39157973)
    • (2004) Journal of Computational Neuroscience , vol.17 , Issue.2 , pp. 203-223
    • Rulkov, N.F.1    Timofeev, I.2    Bazhenov, M.3
  • 3
    • 18044378159 scopus 로고    scopus 로고
    • Regularization of synchronized chaotic bursts
    • DOI 10.1103/PhysRevLett.86.183
    • N.F. Rulkov 2001 Regularization of synchronized chaotic bursts Phys. Rev. Lett. 86 183 186 10.1103/PhysRevLett.86.183 (Pubitemid 32131763)
    • (2001) Physical Review Letters , vol.86 , Issue.1 , pp. 183-186
    • Rulkov, N.F.1
  • 4
    • 0035509659 scopus 로고    scopus 로고
    • Bursting as an emergent phenomenon in coupled chaotic maps
    • 10.1103/PhysRevE.64.051914
    • G. De Vries 2001 Bursting as an emergent phenomenon in coupled chaotic maps Phys. Rev. E 64 051914 10.1103/PhysRevE.64.051914
    • (2001) Phys. Rev. e , vol.64 , pp. 051914
    • De Vries, G.1
  • 5
    • 3142532617 scopus 로고    scopus 로고
    • Subthreshold oscillations in a map-based neuron model
    • 1134.92314 10.1016/j.physleta.2004.05.062
    • A.L. Shilnikov N.F. Rulkov 2004 Subthreshold oscillations in a map-based neuron model Phys. Lett. A 328 177 189 1134.92314 10.1016/j.physleta.2004.05.062
    • (2004) Phys. Lett. A , vol.328 , pp. 177-189
    • Shilnikov, A.L.1    Rulkov, N.F.2
  • 6
    • 0347477229 scopus 로고    scopus 로고
    • Transient activation in a network of coupled map neurons
    • 10.1103/PhysRevLett.91.208102
    • J.M. Casado 2003 Transient activation in a network of coupled map neurons Phys. Rev. Lett. 91 208108 10.1103/PhysRevLett.91.208102
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 208108
    • Casado, J.M.1
  • 7
    • 12544249862 scopus 로고    scopus 로고
    • Winnerless competition in networks of coupled map neurons
    • J.M. Casado B. Ibarz M.A.F. Sanjuán 2004 Winnerless competition in networks of coupled neurons Mod. Phys. Lett. B 18 1347 1366 10.1142/S021798490400789X (Pubitemid 40152808)
    • (2004) Modern Physics Letters B , vol.18 , Issue.26-27 , pp. 1347-1366
    • Casado, J.M.1    Ibarz, B.2    Sanjuan, M.A.F.3
  • 11
    • 44849129508 scopus 로고    scopus 로고
    • Bursting regimes in map-based neuron models coupled through fast threshold modulation
    • B. Ibarz H.J. Cao M.A.F. Sanjuán 2007 Bursting regimes in map-based neuron models coupled through fast threshold modulation Phys. Rev. E 77 05918
    • (2007) Phys. Rev. e , vol.77 , pp. 05918
    • Ibarz, B.1    Cao, H.J.2    Sanjuán, M.A.F.3
  • 12
    • 33645680003 scopus 로고    scopus 로고
    • Synchronization and propagation of bursts in networks of coupled map neurons
    • DOI 10.1063/1.2148387
    • G. Tanaka B. Ibarz M.A.F. Sanjuán K. Aihara 2006 Synchronization and propagation of bursts in a ring of coupled map neurons Chaos 16 013113 2220534 10.1063/1.2148387 (Pubitemid 43528793)
    • (2006) Chaos , vol.16 , Issue.1 , pp. 013113
    • Tanaka, G.1    Ibarz, B.2    Sanjuan, M.A.F.3    Aihara, K.4
  • 13
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation on nerve
    • A.L. Hodgin A.F. Huxley 1952 A quantitative description of membrane current and its application to conduction and excitation on nerve J. Physiol. 117 500 544
    • (1952) J. Physiol. , vol.117 , pp. 500-544
    • Hodgin, A.L.1    Huxley, A.F.2
  • 16
    • 0000233505 scopus 로고
    • Estimators for long-range dependence: An empirical study
    • DOI 10.1142/S0218348X95000692
    • M.S. Taqqu V. Teverovsky W. Willinger 1995 Correlated and uncorrelated regions in heart-rate fluctuations during sleep Fractals 3 785 0864.62061 10.1142/S0218348X95000692 (Pubitemid 126034869)
    • (1995) Fractals , vol.3 , Issue.4 , pp. 785-798
    • Taqqu, M.S.1    Teverovsky, V.2    Willinger, W.3
  • 18
    • 0029434863 scopus 로고
    • Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
    • 10.1063/1.166141
    • C.-K. Peng S. Havlin H.E. Stanley A.L. Goldberger 1995 Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series Chaos 5 82 10.1063/1.166141
    • (1995) Chaos , vol.5 , pp. 82
    • Peng, C.-K.1    Havlin, S.2    Stanley, H.E.3    Goldberger, A.L.4
  • 19
  • 20
    • 0345633628 scopus 로고    scopus 로고
    • Detecting long-range correlations in time series of dorsal horn neuron discharges
    • 10.1016/S0378-4371(99)00110-7
    • S. Blesic S. Milosevic D. Stratimirovic M. Ljubisavljevic 1999 Detecting long-range correlations in time series of dorsal horn neuron discharges Physica A 268 275 10.1016/S0378-4371(99)00110-7
    • (1999) Physica A , vol.268 , pp. 275
    • Blesic, S.1    Milosevic, S.2    Stratimirovic, D.3    Ljubisavljevic, M.4
  • 22
    • 0141509903 scopus 로고    scopus 로고
    • Comparison of detrended fluctuation analysis and spectral analysis for heart rate variability in sleep and sleep apnea
    • DOI 10.1109/TBME.2003.817636
    • T. Penzel J.W. Kantelhart L. Grote T.H. Peter A. Bunde 2003 Comparison of detrended fluctuation analysis and spectral analysis for heart rate variability in sleep and sleep apnea IEEE Trans. Biomed. Eng. 10 1143 10.1109/TBME.2003. 817636 (Pubitemid 37187166)
    • (2003) IEEE Transactions on Biomedical Engineering , vol.50 , Issue.10 , pp. 1143-1151
    • Penzel, T.1    Kantelhardt, J.W.2    Grote, L.3    Peter, J.-H.4    Bunde, A.5
  • 23
    • 0036136309 scopus 로고    scopus 로고
    • Detrended fluctuation analysis of EEG in sleep apnea using MIT/BIH polysomnography data
    • DOI 10.1016/S0010-4825(01)00031-2, PII S0010482501000312
    • J.-M. Lee D.-J. Kim 2002 Detrended fluctuation analysis of EEG in sleep apnea using MIT/BIH polysomnography data Comput. Biol. Med. 32 1 37 10.1016/S0010-4825(01)00031-2 (Pubitemid 34001641)
    • (2002) Computers in Biology and Medicine , vol.32 , Issue.1 , pp. 37-47
    • Lee, J.-M.1    Kim, D.-J.2    Kim, I.-Y.3    Park, K.-S.4    Kim, S.I.5
  • 24
    • 34047216627 scopus 로고    scopus 로고
    • Power-law autocorrelated stochastic processes with long-range cross-correlations
    • DOI 10.1140/epjb/e2007-00089-3
    • W.C. Jun G. Oh S. Kim 2007 Understanding volatility correlation behavior with a magnitude cross-correlation Eur. Phys. J. B 56 47 52 10.1140/epjb/e2007- 00089-3 (Pubitemid 46543662)
    • (2007) European Physical Journal B , vol.56 , Issue.1 , pp. 47-52
    • Podobnik, B.1    Fu, D.F.2    Stanley, H.E.3    Ivanov, P.Ch.4
  • 25
    • 40849127187 scopus 로고    scopus 로고
    • Detrended cross-correlation analysis: A new method for analyzing two nonstationary time series
    • Podobnik, B., Stanley, H.E.: Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series. Phys. Rev. Lett. 100 (2008)
    • (2008) Phys. Rev. Lett. , pp. 100
    • Podobnik, B.1    Stanley, H.E.2
  • 26
    • 45849138178 scopus 로고    scopus 로고
    • Multifractal detrended cross-correlation analysis for two nonstationary signals
    • Zhou, W.-X.: Multifractal detrended cross-correlation analysis for two nonstationary signals. Phys. Rev. Lett. 100 (2008)
    • (2008) Phys. Rev. Lett. , vol.100
    • Zhou, W.-X.1
  • 28
    • 44949278719 scopus 로고
    • Multifractal spectre of multi-affine functions
    • 1134032 10.1016/0378-4371(91)90072-K
    • A.-L. Barabasi P. Szepfalusy T. Vicsek 1991 Multifractal spectre of multi-affine functions Physica A 178 17 28 1134032 10.1016/0378-4371(91)90072-K
    • (1991) Physica A , vol.178 , pp. 17-28
    • Barabasi, A.-L.1    Szepfalusy, P.2    Vicsek, T.3
  • 29
    • 82255186763 scopus 로고    scopus 로고
    • The cross-correlations of stock markets based on DCCA and time-delay DCCA
    • doi: 10.1007/s11071-011-9991-8
    • Lin, A.J., Shang, P.J., Zhao, X.J.: The cross-correlations of stock markets based on DCCA and time-delay DCCA. Nonlinear Dyn. (2011). doi: 10.1007/s11071-011-9991-8
    • (2011) Nonlinear Dyn.
    • Lin, A.J.1    Shang, P.J.2    Zhao, X.J.3
  • 30
    • 77954349429 scopus 로고    scopus 로고
    • Modeling traffic flow correlation using DFA and DCCA
    • 1204.90020 10.1007/s11071-009-9642-5
    • N. Xu P.J. Shang S. Kamae 2010 Modeling traffic flow correlation using DFA and DCCA Nonlinear Dyn. 61 207 216 1204.90020 10.1007/s11071-009-9642-5
    • (2010) Nonlinear Dyn. , vol.61 , pp. 207-216
    • Xu, N.1    Shang, P.J.2    Kamae, S.3
  • 31
    • 33744831771 scopus 로고    scopus 로고
    • Quantitative methods for the characterization of complex surface structures
    • DOI 10.1007/s11071-006-2011-8
    • A. Mora M. Haase 2006 Quantitative methods for the characterization of complex surface structures Nonlinear Dyn. 44 307 313 1101.78329 10.1007/s11071-006-2011-8 (Pubitemid 43839096)
    • (2006) Nonlinear Dynamics , vol.44 , Issue.1-4 , pp. 307-313
    • Mora, A.1    Haase, M.2
  • 32
    • 39749093649 scopus 로고    scopus 로고
    • Multi-dimensional self-affine fractal interpolation model in tensor form
    • DOI 10.1007/s11071-007-9259-5
    • T. Zhang J.L. Liu 2008 Multi-dimensional self-affine fractal interpolation model in tensor form Nonlinear Dyn. 52 83 87 1176.28011 10.1007/s11071-007-9259-5 (Pubitemid 351304397)
    • (2008) Nonlinear Dynamics , vol.52 , Issue.1-2 , pp. 83-87
    • Zhang, T.1    Liu, J.L.2    Zhuang, Z.3
  • 33
    • 37548998591 scopus 로고    scopus 로고
    • On some nonlinear nonisotropic quasi-self-similar functions
    • 2375934 1179.28011 10.1007/s11071-007-9218-1
    • A. Ben Mabrouk 2008 On some nonlinear nonisotropic quasi-self-similar functions Nonlinear Dyn. 51 379 398 2375934 1179.28011 10.1007/s11071-007-9218-1
    • (2008) Nonlinear Dyn. , vol.51 , pp. 379-398
    • Ben Mabrouk, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.