-
1
-
-
12044249591
-
The analysis of observed chaotic data in physical systems
-
Ababarnel H.D.I., Brown R., Sidorowich J.L., and Tsimring L.S. The analysis of observed chaotic data in physical systems. Rev Mod Phys 65 4 (1993) 1331-1392
-
(1993)
Rev Mod Phys
, vol.65
, Issue.4
, pp. 1331-1392
-
-
Ababarnel, H.D.I.1
Brown, R.2
Sidorowich, J.L.3
Tsimring, L.S.4
-
2
-
-
0035682573
-
Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: dependence on recording region and brain state
-
Andrzejak R.G., Lehnertz K., Mormann F., Rieke C., David P., and Elger C.E. Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: dependence on recording region and brain state. Phys Rev E 64 (2001) 061907
-
(2001)
Phys Rev E
, vol.64
, pp. 061907
-
-
Andrzejak, R.G.1
Lehnertz, K.2
Mormann, F.3
Rieke, C.4
David, P.5
Elger, C.E.6
-
3
-
-
33646013297
-
Improved spatial characterization of the epileptic brain by focusing on nonlinearity
-
Andrzejak R.G., Mormann F., Widman G., Kreuz T., Elger C.E., and Lehnertz K. Improved spatial characterization of the epileptic brain by focusing on nonlinearity. Epilepsy Res 69 (2006) 30-44
-
(2006)
Epilepsy Res
, vol.69
, pp. 30-44
-
-
Andrzejak, R.G.1
Mormann, F.2
Widman, G.3
Kreuz, T.4
Elger, C.E.5
Lehnertz, K.6
-
4
-
-
0345306183
-
How well can epileptic seizures be predicted? An evaluation of a nonlinear method
-
Aschenbrenner-Scheibe R., Maiwald T., Winterhalder M., Voss H.U., Timmer J., and Schulze-Bonhage A. How well can epileptic seizures be predicted? An evaluation of a nonlinear method. Brain 126 (2003) 2616-2626
-
(2003)
Brain
, vol.126
, pp. 2616-2626
-
-
Aschenbrenner-Scheibe, R.1
Maiwald, T.2
Winterhalder, M.3
Voss, H.U.4
Timmer, J.5
Schulze-Bonhage, A.6
-
5
-
-
23844525865
-
Approximate entropy of the electroencephalogram in healthy awake subjects and absence epilepsy patients
-
Burioka N., Cornelissen G., Maegaki Y., Halberg F., Kaplan D.T., Miyata M., Fukuoka Y., et al. Approximate entropy of the electroencephalogram in healthy awake subjects and absence epilepsy patients. Clin EEG Neurosci 36 (2005) 188-193
-
(2005)
Clin EEG Neurosci
, vol.36
, pp. 188-193
-
-
Burioka, N.1
Cornelissen, G.2
Maegaki, Y.3
Halberg, F.4
Kaplan, D.T.5
Miyata, M.6
Fukuoka, Y.7
-
6
-
-
22244460535
-
Recurrence plots revisited
-
Casdagli M.C. Recurrence plots revisited. Physica D 108 (1997) 12-44
-
(1997)
Physica D
, vol.108
, pp. 12-44
-
-
Casdagli, M.C.1
-
7
-
-
0031800117
-
Pathophysiological mechanisms of genetic absence epilepsy in the rat
-
Danober L., Deransart C., Depaulis A., Vergnes M., and Marescaux C. Pathophysiological mechanisms of genetic absence epilepsy in the rat. Prog Neurobiol 55 (1998) 27-57
-
(1998)
Prog Neurobiol
, vol.55
, pp. 27-57
-
-
Danober, L.1
Deransart, C.2
Depaulis, A.3
Vergnes, M.4
Marescaux, C.5
-
8
-
-
43949165886
-
Estimating correlation dimension from a chaotic time series: when does plateau onset occur?
-
Ding M., Grebogi C., Ott E., Sauer T., and Yorke J.A. Estimating correlation dimension from a chaotic time series: when does plateau onset occur?. Physica D 69 (1993) 404-424
-
(1993)
Physica D
, vol.69
, pp. 404-424
-
-
Ding, M.1
Grebogi, C.2
Ott, E.3
Sauer, T.4
Yorke, J.A.5
-
9
-
-
44049117207
-
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
-
Eckmann J.P., and Ruelle D. Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Physica D 56 (1992) 185-187
-
(1992)
Physica D
, vol.56
, pp. 185-187
-
-
Eckmann, J.P.1
Ruelle, D.2
-
11
-
-
0031843242
-
Seizure prediction by nonlinear time series analysis of brain electrical activity
-
Elger C.E., and Lehnertz K. Seizure prediction by nonlinear time series analysis of brain electrical activity. Eur J Neurosci 10 (1998) 786-789
-
(1998)
Eur J Neurosci
, vol.10
, pp. 786-789
-
-
Elger, C.E.1
Lehnertz, K.2
-
12
-
-
0001061638
-
A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals
-
Faure P., and Korn H. A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals. Physica D 122 (1998) 265-279
-
(1998)
Physica D
, vol.122
, pp. 265-279
-
-
Faure, P.1
Korn, H.2
-
13
-
-
34548696055
-
Independent coordinates for strange attractors from mutual information
-
Fraser A.M., and Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys Rev A 33 (1986) 1134-1140
-
(1986)
Phys Rev A
, vol.33
, pp. 1134-1140
-
-
Fraser, A.M.1
Swinney, H.L.2
-
14
-
-
8444246808
-
Comparison of spectral analysis and nonlinear analysis of EEG in patients with cognitive decline
-
Gallois P., Forzy G., Leduc J., Andres F., Peyrodie L., Lefebvre E., and Hautecoeur P. Comparison of spectral analysis and nonlinear analysis of EEG in patients with cognitive decline. Clin Neurophysiol 32 (2002) 297-302
-
(2002)
Clin Neurophysiol
, vol.32
, pp. 297-302
-
-
Gallois, P.1
Forzy, G.2
Leduc, J.3
Andres, F.4
Peyrodie, L.5
Lefebvre, E.6
Hautecoeur, P.7
-
16
-
-
0034195170
-
Learning dynamics from non-stationary time series: analysis of electroencephalograms
-
Gribkov D., and Gribkova V. Learning dynamics from non-stationary time series: analysis of electroencephalograms. Phys Rev E 61 (2000) 6538-6545
-
(2000)
Phys Rev E
, vol.61
, pp. 6538-6545
-
-
Gribkov, D.1
Gribkova, V.2
-
18
-
-
0037562843
-
Epileptic seizure prediction and control
-
Iasemidis L.D. Epileptic seizure prediction and control. IEEE Trans Biomed Eng 50 (2003) 548-558
-
(2003)
IEEE Trans Biomed Eng
, vol.50
, pp. 548-558
-
-
Iasemidis, L.D.1
-
20
-
-
0025368460
-
Phase space topography and the Lyapunov exponent of electrocorticograms in partial seizures
-
Iasemidis L.D., Sackellares J., Zaveri H., and Williams W. Phase space topography and the Lyapunov exponent of electrocorticograms in partial seizures. Brain Topogr 2 (1990) 187-201
-
(1990)
Brain Topogr
, vol.2
, pp. 187-201
-
-
Iasemidis, L.D.1
Sackellares, J.2
Zaveri, H.3
Williams, W.4
-
21
-
-
35949006791
-
Determining embedding dimension for phase-space reconstruction using a geometrical construction
-
Kennel M.B., Brown R., and Abarbanel H.D.I. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A 45 (1992) 3403-3411
-
(1992)
Phys Rev A
, vol.45
, pp. 3403-3411
-
-
Kennel, M.B.1
Brown, R.2
Abarbanel, H.D.I.3
-
22
-
-
0040315167
-
Nonlinear dynamics, delay times, and embedding windows
-
Kim H.S., Eykholt R., and Salas J.D. Nonlinear dynamics, delay times, and embedding windows. Physica D 127 (1999) 48-60
-
(1999)
Physica D
, vol.127
, pp. 48-60
-
-
Kim, H.S.1
Eykholt, R.2
Salas, J.D.3
-
23
-
-
0141941639
-
Inability of Lyapunov exponents to predict epileptic seizures
-
Lai Y.C., Harrison M.A.F., Frei M.G., and Osorio I. Inability of Lyapunov exponents to predict epileptic seizures. Phys Rev Lett 91 (2003) 068102
-
(2003)
Phys Rev Lett
, vol.91
, pp. 068102
-
-
Lai, Y.C.1
Harrison, M.A.F.2
Frei, M.G.3
Osorio, I.4
-
24
-
-
0001649501
-
Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity
-
Lehnertz K., and Elger C. Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity. Phys Rev Lett 80 (1998) 5019-5022
-
(1998)
Phys Rev Lett
, vol.80
, pp. 5019-5022
-
-
Lehnertz, K.1
Elger, C.2
-
25
-
-
13844276623
-
The first international collaborative workshop on seizure prediction: summary and data description
-
Lehnertz K., and Litt B. The first international collaborative workshop on seizure prediction: summary and data description. Clin Neurophysiol 116 (2005) 493-505
-
(2005)
Clin Neurophysiol
, vol.116
, pp. 493-505
-
-
Lehnertz, K.1
Litt, B.2
-
26
-
-
8444252470
-
Dynamical characteristics of pre-epileptic seizures in rats with recurrence quantification analysis
-
Li X., Ouyang G., Yao X., and Guan X. Dynamical characteristics of pre-epileptic seizures in rats with recurrence quantification analysis. Phys Lett A 333 (2004) 164-171
-
(2004)
Phys Lett A
, vol.333
, pp. 164-171
-
-
Li, X.1
Ouyang, G.2
Yao, X.3
Guan, X.4
-
27
-
-
35348925885
-
Predictability analysis of absence seizures with permutation entropy
-
Li X., Ouyang G., and Richards D.A. Predictability analysis of absence seizures with permutation entropy. Epilepsy Res 77 (2007) 70-74
-
(2007)
Epilepsy Res
, vol.77
, pp. 70-74
-
-
Li, X.1
Ouyang, G.2
Richards, D.A.3
-
28
-
-
33846300707
-
Interaction dynamics of neuronal oscillations analysed using wavelet transforms
-
Li X., Yao X., Jefferys J.G., and Fox J. Interaction dynamics of neuronal oscillations analysed using wavelet transforms. J Neurosci Meth 160 (2007) 178-185
-
(2007)
J Neurosci Meth
, vol.160
, pp. 178-185
-
-
Li, X.1
Yao, X.2
Jefferys, J.G.3
Fox, J.4
-
29
-
-
37549056503
-
Synchronization measurement of multiple neuronal populations
-
Li X., Cui D., Jiruska P., Fox J.E., Yao X., and Jefferys J.G. Synchronization measurement of multiple neuronal populations. J Neurophysiol 98 (2007) 3341-3348
-
(2007)
J Neurophysiol
, vol.98
, pp. 3341-3348
-
-
Li, X.1
Cui, D.2
Jiruska, P.3
Fox, J.E.4
Yao, X.5
Jefferys, J.G.6
-
30
-
-
34548028966
-
Interpretation of anesthetic drug effect using recurrent dynamics of EEG recordings
-
Li X., Sleigh J., Voss L., and Ouyang G. Interpretation of anesthetic drug effect using recurrent dynamics of EEG recordings. Neurosci Lett 424 (2007) 47-50
-
(2007)
Neurosci Lett
, vol.424
, pp. 47-50
-
-
Li, X.1
Sleigh, J.2
Voss, L.3
Ouyang, G.4
-
31
-
-
1842559898
-
Effect of low-frequency magnetic fields on brain electrical activity in human subjects
-
Marino A.A., Nilsen E., Chesson Jr. A.L., and Frilot C. Effect of low-frequency magnetic fields on brain electrical activity in human subjects. Clin Neurophysiol 115 (2004) 1195-1201
-
(2004)
Clin Neurophysiol
, vol.115
, pp. 1195-1201
-
-
Marino, A.A.1
Nilsen, E.2
Chesson Jr., A.L.3
Frilot, C.4
-
32
-
-
45849113582
-
-
Marwan N. Encounters with neighbours-current developments of concepts based on recurrence plots and their applications. Ph.D. thesis, University of Potsdam, 2003.
-
Marwan N. Encounters with neighbours-current developments of concepts based on recurrence plots and their applications. Ph.D. thesis, University of Potsdam, 2003.
-
-
-
-
33
-
-
8444243000
-
Extended recurrence plot analysis and its application to ERP data
-
Marwan N., and Meinke A. Extended recurrence plot analysis and its application to ERP data. Int J Bifurcation Chaos 14 (2004) 761-771
-
(2004)
Int J Bifurcation Chaos
, vol.14
, pp. 761-771
-
-
Marwan, N.1
Meinke, A.2
-
34
-
-
33646980132
-
Recurrence plot based measures of complexity and its application to heart rate variability data
-
Marwan N., Wessel N., and Kurths J. Recurrence plot based measures of complexity and its application to heart rate variability data. Phys Rev E 66 (2002) 026702
-
(2002)
Phys Rev E
, vol.66
, pp. 026702
-
-
Marwan, N.1
Wessel, N.2
Kurths, J.3
-
35
-
-
33846338227
-
Recurrence plots for the analysis of complex systems
-
Marwan N., Romano M.C., Thiel M., and Kurths J. Recurrence plots for the analysis of complex systems. Phys Rep 438 (2007) 237-329
-
(2007)
Phys Rep
, vol.438
, pp. 237-329
-
-
Marwan, N.1
Romano, M.C.2
Thiel, M.3
Kurths, J.4
-
36
-
-
41349092024
-
Optimizing of recurrence plots for noise reduction
-
Matassini L., Kantz H., Hołyst J., and Hegger R. Optimizing of recurrence plots for noise reduction. Phys Rev E 65 (2002) 021102
-
(2002)
Phys Rev E
, vol.65
, pp. 021102
-
-
Matassini, L.1
Kantz, H.2
Hołyst, J.3
Hegger, R.4
-
37
-
-
0037083650
-
Cortical focus drives widespread corticothalamic networks during spontaneous absence seizures in rats
-
Meeren H.K., Pijn J.P., Van Luijtelaar E.L., Coenen A.M., and Lopes da Silva F.H. Cortical focus drives widespread corticothalamic networks during spontaneous absence seizures in rats. J Neurosci 22 (2002) 1480-1495
-
(2002)
J Neurosci
, vol.22
, pp. 1480-1495
-
-
Meeren, H.K.1
Pijn, J.P.2
Van Luijtelaar, E.L.3
Coenen, A.M.4
Lopes da Silva, F.H.5
-
39
-
-
0036189189
-
Seizures anticipation in human neocortical partial epilepsy
-
Navarro V., Martinerie J., Le Van Quyen M., Clemenceau S., Baulac M., Adam C., et al. Seizures anticipation in human neocortical partial epilepsy. Brain 125 (2002) 640-655
-
(2002)
Brain
, vol.125
, pp. 640-655
-
-
Navarro, V.1
Martinerie, J.2
Le Van Quyen, M.3
Clemenceau, S.4
Baulac, M.5
Adam, C.6
-
40
-
-
33846462445
-
Application of wavelet-based similarity analysis to epileptic seizures prediction
-
Ouyang G., Li X., Li Y., and Guan X. Application of wavelet-based similarity analysis to epileptic seizures prediction. Comput Biol Med 37 (2007) 430-437
-
(2007)
Comput Biol Med
, vol.37
, pp. 430-437
-
-
Ouyang, G.1
Li, X.2
Li, Y.3
Guan, X.4
-
42
-
-
34250308414
-
Deep layer somatosensory cortical neurons initiate spike-and-wave discharges in a genetic model of absence seizures
-
Polack P.O., Guillemain I., Hu E., Deransart C., Depaulis A., and Charpier S. Deep layer somatosensory cortical neurons initiate spike-and-wave discharges in a genetic model of absence seizures. J Neurosci 27 (2007) 6590-6599
-
(2007)
J Neurosci
, vol.27
, pp. 6590-6599
-
-
Polack, P.O.1
Guillemain, I.2
Hu, E.3
Deransart, C.4
Depaulis, A.5
Charpier, S.6
-
44
-
-
0002958385
-
Chaos in the neurosciences: cautionary tales from the frontier
-
Rapp P.E. Chaos in the neurosciences: cautionary tales from the frontier. Biologist 40 (1993) 89-94
-
(1993)
Biologist
, vol.40
, pp. 89-94
-
-
Rapp, P.E.1
-
45
-
-
0038577080
-
Discerning nonstationarity from nonlinearity in seizure-free and preseizure EEG recordings from epilepsy patients
-
Rieke C., Mormann F., Andrzejak R.G., Kreuz T., David P., Elger C.E., et al. Discerning nonstationarity from nonlinearity in seizure-free and preseizure EEG recordings from epilepsy patients. IEEE Trans Biomed Eng 50 (2003) 634-639
-
(2003)
IEEE Trans Biomed Eng
, vol.50
, pp. 634-639
-
-
Rieke, C.1
Mormann, F.2
Andrzejak, R.G.3
Kreuz, T.4
David, P.5
Elger, C.E.6
-
46
-
-
6144236430
-
Improved surrogate data for nonlinearity tests
-
Schreiber T., and Schmitz A. Improved surrogate data for nonlinearity tests. Phys Rev Lett 77 (1996) 635-638
-
(1996)
Phys Rev Lett
, vol.77
, pp. 635-638
-
-
Schreiber, T.1
Schmitz, A.2
-
47
-
-
0345792394
-
Surrogate time series
-
Schreiber T., and Schmitz A. Surrogate time series. Physica D 142 (2000) 346-382
-
(2000)
Physica D
, vol.142
, pp. 346-382
-
-
Schreiber, T.1
Schmitz, A.2
-
48
-
-
33344459808
-
Dynamics of epileptic phenomena determined from statistics of ictal transitions
-
Suffczynski P., Lopes da Silva F.H., Parra J., Velis D.N., Bouwman B.M., van Rijn C.M., et al. Dynamics of epileptic phenomena determined from statistics of ictal transitions. IEEE Trans Biomed Eng 53 (2006) 524-532
-
(2006)
IEEE Trans Biomed Eng
, vol.53
, pp. 524-532
-
-
Suffczynski, P.1
Lopes da Silva, F.H.2
Parra, J.3
Velis, D.N.4
Bouwman, B.M.5
van Rijn, C.M.6
-
49
-
-
0000779360
-
Detecting strange attractors in turbulence
-
Rand D.A., and Young L.S. (Eds), Springer
-
Takens F. Detecting strange attractors in turbulence. In: Rand D.A., and Young L.S. (Eds). Dynamical systems and turbulence. Lecture Notes in Mathematics Vol. 898 (1981), Springer 336
-
(1981)
Dynamical systems and turbulence. Lecture Notes in Mathematics
, vol.898
, pp. 336
-
-
Takens, F.1
-
50
-
-
0029925526
-
Re-examination of the evidence for low-dimensional nonlinear structure in the human electroencephalogram
-
Theiler J., and Rapp P.E. Re-examination of the evidence for low-dimensional nonlinear structure in the human electroencephalogram. Electroenceph Clin Neurophysiol 98 (1996) 213-222
-
(1996)
Electroenceph Clin Neurophysiol
, vol.98
, pp. 213-222
-
-
Theiler, J.1
Rapp, P.E.2
-
51
-
-
44049111332
-
Testing for nonlinearity in time series: the method of surrogate data
-
Theiler J., Eubank S., Longtin A., Galrikian B., and Farmer J. Testing for nonlinearity in time series: the method of surrogate data. Physica D 58 (1992) 77-94
-
(1992)
Physica D
, vol.58
, pp. 77-94
-
-
Theiler, J.1
Eubank, S.2
Longtin, A.3
Galrikian, B.4
Farmer, J.5
-
52
-
-
0037107631
-
Influence of observational noise on the recurrence quantification analysis
-
Thiel M., Romano M.C., Kurths J., Meucci R., Allaria E., and Arecchi F.T. Influence of observational noise on the recurrence quantification analysis. Physica D 171 (2002) 138-152
-
(2002)
Physica D
, vol.171
, pp. 138-152
-
-
Thiel, M.1
Romano, M.C.2
Kurths, J.3
Meucci, R.4
Allaria, E.5
Arecchi, F.T.6
-
53
-
-
13544249190
-
Recurrence quantification analysis of the logistic equation with transients
-
Trulla L.L., Giuliani A., Zbilut J.P., and Webber Jr. C.L. Recurrence quantification analysis of the logistic equation with transients. Phys Lett A 223 (1996) 255-260
-
(1996)
Phys Lett A
, vol.223
, pp. 255-260
-
-
Trulla, L.L.1
Giuliani, A.2
Zbilut, J.P.3
Webber Jr., C.L.4
-
54
-
-
0028354598
-
Dynamical assessment of physiological systems and states using recurrence plot strategies
-
Webber Jr. C.L., and Zbilut J.P. Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 76 (1994) 965-973
-
(1994)
J Appl Physiol
, vol.76
, pp. 965-973
-
-
Webber Jr., C.L.1
Zbilut, J.P.2
-
55
-
-
33749627397
-
Spatio-temporal patient-individual assessment of synchronization changes for epileptic seizure prediction
-
Winterhalder M., Schelter B., Maiwald T., Brandt A., Schad A., Schulze-Bonhage A., et al. Spatio-temporal patient-individual assessment of synchronization changes for epileptic seizure prediction. Clin Neurophysiol 117 (2006) 2399-2413
-
(2006)
Clin Neurophysiol
, vol.117
, pp. 2399-2413
-
-
Winterhalder, M.1
Schelter, B.2
Maiwald, T.3
Brandt, A.4
Schad, A.5
Schulze-Bonhage, A.6
-
56
-
-
0042357254
-
Recurrence quantification analysis and principal components in the detection of short complex signals
-
Zbilut J.P., Giuliani A., and Webber Jr. C.L. Recurrence quantification analysis and principal components in the detection of short complex signals. Phys Lett A 237 (1998) 131-135
-
(1998)
Phys Lett A
, vol.237
, pp. 131-135
-
-
Zbilut, J.P.1
Giuliani, A.2
Webber Jr., C.L.3
-
57
-
-
0034642818
-
Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series
-
Zbilut J.P., Giuliani A., and Webber Jr. C.L. Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series. Phys Lett A 267 (2000) 174-178
-
(2000)
Phys Lett A
, vol.267
, pp. 174-178
-
-
Zbilut, J.P.1
Giuliani, A.2
Webber Jr., C.L.3
|