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Volumn 14, Issue 8, 2004, Pages 2979-2990

Higher order complexity of time series

Author keywords

Complexity; EEG; Higher order complexity; Nonstationarity; Time series

Indexed keywords

ELECTROENCEPHALOGRAPHY; LARGE SCALE SYSTEMS; PARAMETER ESTIMATION; SIGNAL PROCESSING;

EID: 4944267739     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740401093X     Document Type: Article
Times cited : (6)

References (46)
  • 1
    • 0342980314 scopus 로고    scopus 로고
    • Approximate entropy as an electroencephalographic measure of anesthetic drug effect during desflurane anesthesia
    • Bruhn, J., Kopeke, H. & Hoeft, A. [2000] "Approximate entropy as an electroencephalographic measure of anesthetic drug effect during desflurane anesthesia," Anesthesiology 92, 715-726.
    • (2000) Anesthesiology , vol.92 , pp. 715-726
    • Bruhn, J.1    Kopeke, H.2    Hoeft, A.3
  • 2
    • 0015951849 scopus 로고
    • Information theoretical computational complexity
    • Chaitin, G. J. [1974] "Information theoretical computational complexity," IEEE Trans. Inform. Th. IT20, 10-15.
    • (1974) IEEE Trans. Inform. Th. , vol.IT20 , pp. 10-15
    • Chaitin, G.J.1
  • 3
    • 0037586349 scopus 로고    scopus 로고
    • A new measurement of complexity for studying EEG
    • Kitakyushu, Japan, 21-23 October 1998 Proc. (IOS Press)
    • Chen, F., Xu, J. H., Gu. F. J., Liu, Z. R. & Liu, R. [1998] "A new measurement of complexity for studying EEG," Fifth Int. Conf. Neural Information Processing, Kitakyushu, Japan, 21-23 October 1998 Proc. Vol. 2 (IOS Press), pp. 435-438.
    • (1998) Fifth Int. Conf. Neural Information Processing , vol.2 , pp. 435-438
    • Chen, F.1    Xu, J.H.2    Gu, F.J.3    Liu, Z.R.4    Liu, R.5
  • 4
    • 0034305310 scopus 로고    scopus 로고
    • Dynamic process of information transmission complexity in human brains
    • Chen, F., Xu, J., Gu, F., Yu, X., Meng, X. & Qiu, Z. [2000] "Dynamic process of information transmission complexity in human brains," Biol. Cybern. 83, 355-366.
    • (2000) Biol. Cybern. , vol.83 , pp. 355-366
    • Chen, F.1    Xu, J.2    Gu, F.3    Yu, X.4    Meng, X.5    Qiu, Z.6
  • 5
    • 0034144007 scopus 로고    scopus 로고
    • Removal of ocular artifact from the EEG: A review
    • Croft, R. J. & Barry, R. J. [2000] "Removal of ocular artifact from the EEG: A review," Neurophysiol. Clin. 30, 5-19.
    • (2000) Neurophysiol. Clin. , vol.30 , pp. 5-19
    • Croft, R.J.1    Barry, R.J.2
  • 6
    • 0002984623 scopus 로고
    • Noise scaling of symbolic dynamics entropies
    • ed. Haken, H. (Springer-Verlag, Berlin)
    • Crutchfield, J. P. & Packard, N. H. [1983] "Noise scaling of symbolic dynamics entropies," in Evolution of Order and Chaos, ed. Haken, H. (Springer-Verlag, Berlin), pp. 215-227.
    • (1983) Evolution of Order and Chaos , pp. 215-227
    • Crutchfield, J.P.1    Packard, N.H.2
  • 7
    • 0000909837 scopus 로고
    • Inferring statistical complexity
    • Crutchfield, J. P. & Young, K. [1989] "Inferring statistical complexity," Phys. Rev. Lett. 63, 105-108.
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 105-108
    • Crutchfield, J.P.1    Young, K.2
  • 8
    • 0000228108 scopus 로고
    • Hierarchical approach to complexity with applications to dynamic systems
    • D'Alessandro, G. & Politi, A. [1990] "Hierarchical approach to complexity with applications to dynamic systems," Phys. Rev. Lett. 64, 1609-1612.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1609-1612
    • D'Alessandro, G.1    Politi, A.2
  • 9
    • 0001081093 scopus 로고    scopus 로고
    • Epileptic activity recognition in EEG recording
    • Diambra, L, Bastos de Figueiredo, J. C. & Malta, C. P. [1999] "Epileptic activity recognition in EEG recording," Physica A273, 495-505.
    • (1999) Physica , vol.A273 , pp. 495-505
    • Diambra, L.1    Bastos De Figueiredo, J.C.2    Malta, C.P.3
  • 10
    • 0033851361 scopus 로고    scopus 로고
    • Nonlinear EEG analysis and its potential role in epileptology
    • Elger, C. E., Widman, G. & Andrzejak, R. et al. [2000] "Nonlinear EEG analysis and its potential role in epileptology," Epilepsia 41, S34-S38.
    • (2000) Epilepsia , vol.41
    • Elger, C.E.1    Widman, G.2    Andrzejak, R.3
  • 11
    • 0042317681 scopus 로고
    • Toward a quantitative theory of self-generated complexity
    • Grassberger, P. [1986] "Toward a quantitative theory of self-generated complexity," Int. J. Theoret. Phys. 25, 907-938.
    • (1986) Int. J. Theoret. Phys. , vol.25 , pp. 907-938
    • Grassberger, P.1
  • 12
    • 0037986541 scopus 로고    scopus 로고
    • Can we measure consciousness with EEG complexities?
    • Gu, F., Meng, X. & Shen, E. et al. [2003] "Can we measure consciousness with EEG complexities?" Int. J. Bifurcation and Chaos 13, 733-742.
    • (2003) Int. J. Bifurcation and Chaos , vol.13 , pp. 733-742
    • Gu, F.1    Meng, X.2    Shen, E.3
  • 13
    • 0040219905 scopus 로고    scopus 로고
    • Detecting dynamical change in nonlinear time series
    • Hively, L. M., Gailey, P. C. & Protopopescu, V. A. [1999] "Detecting dynamical change in nonlinear time series," Phys. Lett. A258, 103-114.
    • (1999) Phys. Lett. , vol.A258 , pp. 103-114
    • Hively, L.M.1    Gailey, P.C.2    Protopopescu, V.A.3
  • 14
    • 85016567947 scopus 로고
    • Complexity and adaptation
    • Huberman, B. A. & Hogg, T. [1986] "Complexity and adaptation," Physica D22, 376-384.
    • (1986) Physica , vol.D22 , pp. 376-384
    • Huberman, B.A.1    Hogg, T.2
  • 16
    • 0040219905 scopus 로고    scopus 로고
    • Detecting dynamical changes in nonlinear time series
    • Hively, L. M., Gailey, P. C. & Protopopescu, V. A. [1999] "Detecting dynamical changes in nonlinear time series," Phys. Lett. A258, 103-114.
    • (1999) Phys. Lett. , vol.A258 , pp. 103-114
    • Hively, L.M.1    Gailey, P.C.2    Protopopescu, V.A.3
  • 17
    • 0025818412 scopus 로고
    • Fractal and chaotic dynamics in nervous systems
    • King, C. C. [1991] "Fractal and chaotic dynamics in nervous systems," Prog. Neurobiol. 36, 279-308.
    • (1991) Prog. Neurobiol. , vol.36 , pp. 279-308
    • King, C.C.1
  • 18
    • 0001902056 scopus 로고
    • Three approaches to the definition of the concept of quantity of information
    • translated from Russian
    • Kolmogorov [1965] "Three approaches to the definition of the concept of quantity of information," Prob. Inform. Process. 1, 3-11 (translated from Russian).
    • (1965) Prob. Inform. Process. , vol.1 , pp. 3-11
    • Kolmogorov1
  • 20
    • 0029123213 scopus 로고
    • Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss
    • Lehnertz, K. & Elger, C. E. [1995] "Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss," Electroencephalogr. Clin. Neurophysiol. 95, 108-117.
    • (1995) Electroencephalogr. Clin. Neurophysiol. , vol.95 , pp. 108-117
    • Lehnertz, K.1    Elger, C.E.2
  • 21
    • 0031239536 scopus 로고    scopus 로고
    • Neuronal complexity loss in temporal lobe epilepsy: Effects of carbamazepine on the dynamics of the epileptogenic focus
    • Lehnertz, K. & Elger, C. E. [1997] "Neuronal complexity loss in temporal lobe epilepsy: Effects of carbamazepine on the dynamics of the epileptogenic focus," Electroencephalogr. Clin. Neurophysiol. 103, 376-380.
    • (1997) Electroencephalogr. Clin. Neurophysiol. , vol.103 , pp. 376-380
    • Lehnertz, K.1    Elger, C.E.2
  • 22
    • 0001649501 scopus 로고    scopus 로고
    • Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity
    • Lehnertz, K. & Elger, C. E. [1998] "Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity," Phys. Rev. Lett. 80, 5019-5022.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5019-5022
    • Lehnertz, K.1    Elger, C.E.2
  • 23
    • 0032834572 scopus 로고    scopus 로고
    • Nonlinear time series analysis of intracranial EEG recordings in patients with epilepsy - An overview
    • Lehnertz, K. [1999] "Nonlinear time series analysis of intracranial EEG recordings in patients with epilepsy - An overview," Int. J. Psychophysiol. 34, 45-52.
    • (1999) Int. J. Psychophysiol. , vol.34 , pp. 45-52
    • Lehnertz, K.1
  • 24
    • 0034820809 scopus 로고    scopus 로고
    • Nonlinear EEG analysis in Epilepsy: Its possible use for interictal focus localization, seizure anticipation, and prevention
    • Lehnertz, K., Andrzejak, R. G. & Arnhold, J. et al., [2001] "Nonlinear EEG analysis in Epilepsy: Its possible use for interictal focus localization, seizure anticipation, and prevention," J. Clin. Neurophysi. 18, 209-222.
    • (2001) J. Clin. Neurophysi. , vol.18 , pp. 209-222
    • Lehnertz, K.1    Andrzejak, R.G.2    Arnhold, J.3
  • 25
    • 0016880887 scopus 로고
    • On complexity of finite sequences
    • Lempel, A. & Ziv, J [1976] "On complexity of finite sequences," IEEE Trans. Inform. Th. 22, 75-88.
    • (1976) IEEE Trans. Inform. Th. , vol.22 , pp. 75-88
    • Lempel, A.1    Ziv, J.2
  • 26
    • 0012523068 scopus 로고    scopus 로고
    • Prediction of epileptic seizures
    • Litt, B. & Echauz, J. [2002] "Prediction of epileptic seizures," Lancet Neural. 1, 22-30.
    • (2002) Lancet Neural. , vol.1 , pp. 22-30
    • Litt, B.1    Echauz, J.2
  • 27
    • 0031986202 scopus 로고    scopus 로고
    • Nonstationarity in epileptic EEG and implications for neural dynamics
    • Manuca, R., Casdagli, M. C. & Savit, R. S. [1998] "Nonstationarity in epileptic EEG and implications for neural dynamics," Mathem. Biosci. 147, 1-22.
    • (1998) Mathem. Biosci. , vol.147 , pp. 1-22
    • Manuca, R.1    Casdagli, M.C.2    Savit, R.S.3
  • 28
    • 0031721738 scopus 로고    scopus 로고
    • Epileptic seizures can be anticipated by nonlinear analysis
    • Martinerie, J., Adam, C. & Le Van Quyen, M. et al. [1998] "Epileptic seizures can be anticipated by nonlinear analysis," Nat. Med. 4, 1173-1176.
    • (1998) Nat. Med. , vol.4 , pp. 1173-1176
    • Martinerie, J.1    Adam, C.2    Le Van Quyen, M.3
  • 29
    • 0034352130 scopus 로고    scopus 로고
    • Kulback-Leibler and renormalized entropies: Applications to electroencephagrams of epilepsy patients
    • Quiroga, R. Q., Arnhold, J. & Lehnertz, K. et al. [2000] "Kulback-Leibler and renormalized entropies: Applications to electroencephagrams of epilepsy patients," Phys. Rev. E62, 8380-8386.
    • (2000) Phys. Rev. , vol.E62 , pp. 8380-8386
    • Quiroga, R.Q.1    Arnhold, J.2    Lehnertz, K.3
  • 30
    • 0026015905 scopus 로고
    • Approximate entropy as a measure of system complexity
    • Pincus, S. M. [1991] "Approximate entropy as a measure of system complexity," Proc. Natl. Acad. Sci. USA 88, 2297-2301.
    • (1991) Proc. Natl. Acad. Sci. USA , vol.88 , pp. 2297-2301
    • Pincus, S.M.1
  • 31
    • 0001263361 scopus 로고
    • Approximate entropy (ApEn) as a complexity measure
    • Pincus, S. M. [1995] "Approximate entropy (ApEn) as a complexity measure," Chaos 5, 110-117.
    • (1995) Chaos , vol.5 , pp. 110-117
    • Pincus, S.M.1
  • 32
    • 0032077575 scopus 로고    scopus 로고
    • Estimating regularity in epileptic seizure time-series data
    • Radhakrishnan, N. & Gangadhar, B. N. [1998] "Estimating regularity in epileptic seizure time-series data," EEG Engin. Med. Biol. 17, 89-94.
    • (1998) EEG Engin. Med. Biol. , vol.17 , pp. 89-94
    • Radhakrishnan, N.1    Gangadhar, B.N.2
  • 33
    • 0030275488 scopus 로고    scopus 로고
    • Complexity measures in molecular psychiatry
    • Rapp, P. E. & Schmah, T. I. [1996] "Complexity measures in molecular psychiatry," Molec. Psych. 1, 408-416.
    • (1996) Molec. Psych. , vol.1 , pp. 408-416
    • Rapp, P.E.1    Schmah, T.I.2
  • 34
    • 0003111425 scopus 로고    scopus 로고
    • Dynamical analysis in clinical practice
    • eds. Lehnertz, K., Arnhold, J., Grassberger, P. & Elger, C. E. (World Scientific, Singapore)
    • Rapp, P. E. & Schmah, T. I. [2000] "Dynamical analysis in clinical practice," in Chaos in Brain? eds. Lehnertz, K., Arnhold, J., Grassberger, P. & Elger, C. E. (World Scientific, Singapore), pp. 52-62.
    • (2000) Chaos in Brain? , pp. 52-62
    • Rapp, P.E.1    Schmah, T.I.2
  • 35
    • 0002060398 scopus 로고    scopus 로고
    • Interdisciplinary application of nonlinear time series methods
    • Schreiber, T. [1999] "Interdisciplinary application of nonlinear time series methods," Phys. Rep. 308, 1-64.
    • (1999) Phys. Rep. , vol.308 , pp. 1-64
    • Schreiber, T.1
  • 36
    • 0032761744 scopus 로고    scopus 로고
    • Algorithmic complexity as an index of cortical function in awake and pentobarbital-anesthetized rates
    • Shaw, F. Z., Chen, R. F. & Tsao, H. W. et al. [1999] "Algorithmic complexity as an index of cortical function in awake and pentobarbital-anesthetized rates," J. Neurosci. Meth. 93, 101-110.
    • (1999) J. Neurosci. Meth. , vol.93 , pp. 101-110
    • Shaw, F.Z.1    Chen, R.F.2    Tsao, H.W.3
  • 37
    • 0035931292 scopus 로고    scopus 로고
    • Recurrence quantification in epileptic EEGs
    • Thomasson, N., Hoeppner, T. J. & Webber, C. L. Jr. et al. [2001] "Recurrence quantification in epileptic EEGs," Phys. Lett. A279, 94-101.
    • (2001) Phys. Lett. , vol.A279 , pp. 94-101
    • Thomasson, N.1    Hoeppner, T.J.2    Webber Jr., C.L.3
  • 38
    • 85008065851 scopus 로고    scopus 로고
    • Saturability index increase reliability of correlation dimension calculations for ictal state detection in intracranial EEG recordings
    • Velis, D. N., Kalitzin, S. & Blanes, W. et al. [2000] "Saturability index increase reliability of correlation dimension calculations for ictal state detection in intracranial EEG recordings," Epilepsia 41, p. S205.
    • (2000) Epilepsia , vol.41
    • Velis, D.N.1    Kalitzin, S.2    Blanes, W.3
  • 40
    • 0031714534 scopus 로고    scopus 로고
    • Neuronal complexity loss in interictal EEG recorded with foramen ovale electrodes predicts side of primary epileptogenic area in temporal lobe epilepsy: A replication study
    • Weber, B, Lehnertz, K. & Elger, C. E. et al. [1998] "Neuronal complexity loss in interictal EEG recorded with foramen ovale electrodes predicts side of primary epileptogenic area in temporal lobe epilepsy: A replication study," Epilepsia 39, 922-927.
    • (1998) Epilepsia , vol.39 , pp. 922-927
    • Weber, B.1    Lehnertz, K.2    Elger, C.E.3
  • 41
    • 0033939081 scopus 로고    scopus 로고
    • Spatial distribution of neuronal complexity loss in neocortical lesional epilepsies
    • Widman, G., Lehnertz, K. & Urbach, H. et al. [2000] "Spatial distribution of neuronal complexity loss in neocortical lesional epilepsies," Epilepsia 41, 811-817.
    • (2000) Epilepsia , vol.41 , pp. 811-817
    • Widman, G.1    Lehnertz, K.2    Urbach, H.3
  • 42
    • 0000911742 scopus 로고
    • Complexity and brain function
    • Wu, X. & Xu, J. [1991] "Complexity and brain function," Acta Biophys. Sin. 7, 103-106.
    • (1991) Acta Biophys. Sin. , vol.7 , pp. 103-106
    • Wu, X.1    Xu, J.2
  • 43
    • 0028547493 scopus 로고
    • The measures of sequences complexity for EEG studies
    • Xu, J., Liu, Z. & Liu, R. [1994] "The measures of sequences complexity for EEG studies," Chaos Solit. Fract. 4, 2111-2119.
    • (1994) Chaos Solit. Fract. , vol.4 , pp. 2111-2119
    • Xu, J.1    Liu, Z.2    Liu, R.3
  • 44
    • 0031212138 scopus 로고    scopus 로고
    • Information transmission in human cerebral cortex
    • Xu, J., Liu, Z., Liu, R. & Yang, Q. [1997] "Information transmission in human cerebral cortex," Physica D106, 363-374.
    • (1997) Physica , vol.D106 , pp. 363-374
    • Xu, J.1    Liu, Z.2    Liu, R.3    Yang, Q.4
  • 45
    • 0037924286 scopus 로고    scopus 로고
    • The comparison among complexities of EEG time series in different physiological states using three kinds of algorithms
    • Yang, S., Yang, Q. & Shi, J. et al. [1996] "The comparison among complexities of EEG time series in different physiological states using three kinds of algorithms," Acta Biophys. Sin. 12, 437-440.
    • (1996) Acta Biophys. Sin. , vol.12 , pp. 437-440
    • Yang, S.1    Yang, Q.2    Shi, J.3
  • 46
    • 0033023053 scopus 로고    scopus 로고
    • Predicting movement during anesthesia by complexity analysis of electroencephalograms
    • Zhang, X. S. & Roy, R. J. [1999] "Predicting movement during anesthesia by complexity analysis of electroencephalograms," Med. Biol. Engin. Comput. 37, 327-334.
    • (1999) Med. Biol. Engin. Comput. , vol.37 , pp. 327-334
    • Zhang, X.S.1    Roy, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.