-
1
-
-
0025368460
-
-
L. D. Iasemidis, J. C. Sackellares, H. P. Zaveri, and W. I. Williams, Brain Topogr. 2, 187 (1990); L. D. Iasemidis and J. C. Sackellares, in Measuring Chaos in the Human Brain, edited by D. W. Duke and W. S. Pritchard (World Scientific, Singapore, 1991), pp. 49-82.
-
(1990)
Brain Topogr.
, vol.2
, pp. 187
-
-
Iasemidis, L.D.1
Sackellares, J.C.2
Zaveri, H.P.3
Williams, W.I.4
-
2
-
-
0002304828
-
-
edited by D. W. Duke and W. S. Pritchard (World Scientific, Singapore)
-
L. D. Iasemidis, J. C. Sackellares, H. P. Zaveri, and W. I. Williams, Brain Topogr. 2, 187 (1990); L. D. Iasemidis and J. C. Sackellares, in Measuring Chaos in the Human Brain, edited by D. W. Duke and W. S. Pritchard (World Scientific, Singapore, 1991), pp. 49-82.
-
(1991)
Measuring Chaos in the Human Brain
, pp. 49-82
-
-
Iasemidis, L.D.1
Sackellares, J.C.2
-
3
-
-
0002285568
-
-
L. D. Iasemidis, P. Pardalos, J. C. Sackellares, and D. S. Shiau, I. Comb. Optim. 5, 9 (2001).
-
(2001)
I. Comb. Optim.
, vol.5
, pp. 9
-
-
Iasemidis, L.D.1
Pardalos, P.2
Sackellares, J.C.3
Shiau, D.S.4
-
4
-
-
0038238304
-
-
L. D. Iasemidis, D. S. Shiau, W. Chaovalitwongse, J. C. Sackellares, P. M. Pardalos, J. C. Principe, P. R. Carney, A. Prasad, B. Veeramani, and K. Tsakalis, IEEE Trans. Biomed. Eng. 50, 616 (2003).
-
(2003)
IEEE Trans. Biomed. Eng.
, vol.50
, pp. 616
-
-
Iasemidis, L.D.1
Shiau, D.S.2
Chaovalitwongse, W.3
Sackellares, J.C.4
Pardalos, P.M.5
Principe, J.C.6
Carney, P.R.7
Prasad, A.8
Veeramani, B.9
Tsakalis, K.10
-
5
-
-
0038359358
-
-
L. D. Iasemidis, P. M. Pardalos, D. S. Shiau, W. Chaovalitwongse, K. Narayanan, S. Kumar, P. R. Carney, and J. C. Sackellares, Optimization Methods & Software 18, 81 (2003).
-
(2003)
Optimization Methods & Software
, vol.18
, pp. 81
-
-
Iasemidis, L.D.1
Pardalos, P.M.2
Shiau, D.S.3
Chaovalitwongse, W.4
Narayanan, K.5
Kumar, S.6
Carney, P.R.7
Sackellares, J.C.8
-
7
-
-
35949011725
-
-
A. M. Albano, J. Muench, C. Schwartz, A. I. Mees, and P. E. Rapp, Phys. Rev. A 38, 3017 (1988); P. E. Rapp, T. R. Bashore, J. Martinerie, A. M. Albano, and A. I. Mees, Brain Topogr. 2, 99 (1989); P. E. Rapp, I. D. Zimmerman, E. P. Vining, N. Cohen, A. M. Albano, and M. A. Jimenezmontano, J. Nenrosci. 14, 4731 (1994).
-
(1988)
Phys. Rev. A
, vol.38
, pp. 3017
-
-
Albano, A.M.1
Muench, J.2
Schwartz, C.3
Mees, A.I.4
Rapp, P.E.5
-
8
-
-
0024951171
-
-
A. M. Albano, J. Muench, C. Schwartz, A. I. Mees, and P. E. Rapp, Phys. Rev. A 38, 3017 (1988); P. E. Rapp, T. R. Bashore, J. Martinerie, A. M. Albano, and A. I. Mees, Brain Topogr. 2, 99 (1989); P. E. Rapp, I. D. Zimmerman, E. P. Vining, N. Cohen, A. M. Albano, and M. A. Jimenezmontano, J. Nenrosci. 14, 4731 (1994).
-
(1989)
Brain Topogr.
, vol.2
, pp. 99
-
-
Rapp, P.E.1
Bashore, T.R.2
Martinerie, J.3
Albano, A.M.4
Mees, A.I.5
-
9
-
-
0028145756
-
-
A. M. Albano, J. Muench, C. Schwartz, A. I. Mees, and P. E. Rapp, Phys. Rev. A 38, 3017 (1988); P. E. Rapp, T. R. Bashore, J. Martinerie, A. M. Albano, and A. I. Mees, Brain Topogr. 2, 99 (1989); P. E. Rapp, I. D. Zimmerman, E. P. Vining, N. Cohen, A. M. Albano, and M. A. Jimenezmontano, J. Nenrosci. 14, 4731 (1994).
-
(1994)
J. Nenrosci.
, vol.14
, pp. 4731
-
-
Rapp, P.E.1
Zimmerman, I.D.2
Vining, E.P.3
Cohen, N.4
Albano, A.M.5
Jimenezmontano, M.A.6
-
12
-
-
0000824730
-
-
M. L. V. Quyen, J. Martinerie, C. Adam, and F. J. Varela, Phys. Rev. E 56, 3401 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 3401
-
-
Quyen, M.L.V.1
Martinerie, J.2
Adam, C.3
Varela, F.J.4
-
13
-
-
0001649501
-
-
K. Lehnertz and C. E. Elger, Phys. Rev. Lett 80, 5019 (1998); C. E. Elger and K. Lehnertz, Eur. J. Neurosci. 10, 786 (1998). J. Martinerie, C. Adam, M. L. V. Quyen, M. Baulac, S. Clemenceau, B. Renault, and F. J. Varela, Nature Medicine 4, 1173 (1998).
-
(1998)
Phys. Rev. Lett
, vol.80
, pp. 5019
-
-
Lehnertz, K.1
Elger, C.E.2
-
14
-
-
0031843242
-
-
K. Lehnertz and C. E. Elger, Phys. Rev. Lett 80, 5019 (1998); C. E. Elger and K. Lehnertz, Eur. J. Neurosci. 10, 786 (1998). J. Martinerie, C. Adam, M. L. V. Quyen, M. Baulac, S. Clemenceau, B. Renault, and F. J. Varela, Nature Medicine 4, 1173 (1998).
-
(1998)
Eur. J. Neurosci.
, vol.10
, pp. 786
-
-
Elger, C.E.1
Lehnertz, K.2
-
15
-
-
0031721738
-
-
K. Lehnertz and C. E. Elger, Phys. Rev. Lett 80, 5019 (1998); C. E. Elger and K. Lehnertz, Eur. J. Neurosci. 10, 786 (1998). J. Martinerie, C. Adam, M. L. V. Quyen, M. Baulac, S. Clemenceau, B. Renault, and F. J. Varela, Nature Medicine 4, 1173 (1998).
-
(1998)
Nature Medicine
, vol.4
, pp. 1173
-
-
Martinerie, J.1
Adam, C.2
Quyen, M.L.V.3
Baulac, M.4
Clemenceau, S.5
Renault, B.6
Varela, F.J.7
-
20
-
-
0034352130
-
-
R. Q. Quiroga, J. Arnhold, K. Lehnertz, and P. Grassberger, Phys. Rev. E 62, 8380 (2000).
-
(2000)
Phys. Rev. E
, vol.62
, pp. 8380
-
-
Quiroga, R.Q.1
Arnhold, J.2
Lehnertz, K.3
Grassberger, P.4
-
21
-
-
0035682573
-
-
R. G. Andrzejak, K. Lehnertz, F. Mormann, C. Rieke, P. David, and C. E. Elger, Phys. Rev. E 64, 061907 (2001).
-
(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
-
28
-
-
0034178680
-
-
S. Boccaletti, C. Grebogi, Y.-C. Lai, H. Mancini, and D. Maza, Phys. Rep. 329, 103 (2000).
-
(2000)
Phys. Rep.
, vol.329
, pp. 103
-
-
Boccaletti, S.1
Grebogi, C.2
Lai, Y.-C.3
Mancini, H.4
Maza, D.5
-
29
-
-
43949156836
-
-
J. Theiler, Phys. Lett. A 196, 335 (1995); J. Theiler and P. E. Rapp, Electroencephalogr. Clin. Neurophysiol. 98, 213 (1996).
-
(1995)
Phys. Lett. A
, vol.196
, pp. 335
-
-
Theiler, J.1
-
31
-
-
0039476512
-
-
G. W. Frank, T. Lookman, and M. A. H. Nerenberg, Can. J. Phys. 68, 711 (1990); D. K. Ivanov, H. A. Posch, and C. Stampf, Chaos 6, 243 (1996); J. Jeong, M. S. Kim, and S. Y. Kim, Phys. Rev. E 60, 831 (1999).
-
(1990)
Can. J. Phys.
, vol.68
, pp. 711
-
-
Frank, G.W.1
Lookman, T.2
Nerenberg, M.A.H.3
-
32
-
-
21344471074
-
-
G. W. Frank, T. Lookman, and M. A. H. Nerenberg, Can. J. Phys. 68, 711 (1990); D. K. Ivanov, H. A. Posch, and C. Stampf, Chaos 6, 243 (1996); J. Jeong, M. S. Kim, and S. Y. Kim, Phys. Rev. E 60, 831 (1999).
-
(1996)
Chaos
, vol.6
, pp. 243
-
-
Ivanov, D.K.1
Posch, H.A.2
Stampf, C.3
-
33
-
-
0033167719
-
-
G. W. Frank, T. Lookman, and M. A. H. Nerenberg, Can. J. Phys. 68, 711 (1990); D. K. Ivanov, H. A. Posch, and C. Stampf, Chaos 6, 243 (1996); J. Jeong, M. S. Kim, and S. Y. Kim, Phys. Rev. E 60, 831 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 831
-
-
Jeong, J.1
Kim, M.S.2
Kim, S.Y.3
-
34
-
-
0003638280
-
-
Oxford University Press, Oxford
-
See, for instance, P. Nuñez, in Neocortical Dynamics and Human EEG Rhythms, edited by P. Nuñez (Oxford University Press, Oxford, 1995), pp. 3-67, 68-133.
-
(1995)
Neocortical Dynamics and Human EEG Rhythms
, pp. 3-67
-
-
Nuñez, P.1
Nuñez, P.2
-
36
-
-
84930063831
-
-
For example, R. G. Andrzejak, R. Mormann, T. Kreuz, C. Rieke, A. Kraskov, C. E. Elger, and K. Lehnertz, Phys. Rev. E 67, 010901(R) (2003).
-
(2003)
Phys. Rev. E
, vol.67
, pp. 010901
-
-
Andrzejak, R.G.1
Mormann, R.2
Kreuz, T.3
Rieke, C.4
Kraskov, A.5
Elger, C.E.6
Lehnertz, K.7
-
37
-
-
0141941639
-
-
Y.-C. Lai, M. A. F. Harrison, M. G. Frei, and I. Osorio, Phys. Rev. Lett. 91, 068102 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 068102
-
-
Lai, Y.-C.1
Harrison, M.A.F.2
Frei, M.G.3
Osorio, I.4
-
40
-
-
0021224909
-
-
A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physics D 16, 285 (1985).
-
(1985)
Physics D
, vol.16
, pp. 285
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
43
-
-
6444240297
-
-
J.-P. Eckmann, S. O. Kamphorst, D. Ruelle, and S. Ciliberto, Phys. Rev. A 34, 4971 (1986).
-
(1986)
Phys. Rev. A
, vol.34
, pp. 4971
-
-
Eckmann, J.-P.1
Kamphorst, S.O.2
Ruelle, D.3
Ciliberto, S.4
-
45
-
-
0001470336
-
-
T. D. Sauer, J. A. Tempkin, and J. A. Yorke, Phys. Rev. Lett. 81, 4341 (1998); T. D. Sauer and J. A. Yorke, ibid. 83, 1331 (1999).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 4341
-
-
Sauer, T.D.1
Tempkin, J.A.2
Yorke, J.A.3
-
46
-
-
0001248042
-
-
T. D. Sauer, J. A. Tempkin, and J. A. Yorke, Phys. Rev. Lett. 81, 4341 (1998); T. D. Sauer and J. A. Yorke, ibid. 83, 1331 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 1331
-
-
Sauer, T.D.1
Yorke, J.A.2
-
50
-
-
0034834522
-
-
I. Osorio, M. A. F. Harrison, Y.-C. Lai, and M. G. Frei, J. Clin. Neurophysiol. 18, 269 (2001); Y.-C. Lai, I. Osorio, M. A. F. Harrison, and M. G. Frei, Pays. Rev. E 65, 031921 (2002).
-
(2001)
J. Clin. Neurophysiol.
, vol.18
, pp. 269
-
-
Osorio, I.1
Harrison, M.A.F.2
Lai, Y.-C.3
Frei, M.G.4
-
51
-
-
37649032975
-
-
I. Osorio, M. A. F. Harrison, Y.-C. Lai, and M. G. Frei, J. Clin. Neurophysiol. 18, 269 (2001); Y.-C. Lai, I. Osorio, M. A. F. Harrison, and M. G. Frei, Pays. Rev. E 65, 031921 (2002).
-
(2002)
Pays. Rev. E
, vol.65
, pp. 031921
-
-
Lai, Y.-C.1
Osorio, I.2
Harrison, M.A.F.3
Frei, M.G.4
-
52
-
-
0001640825
-
-
Lecture Notes in Mathematics, edited by H.-O. Peitgen and H.-O. Walter (Springer, Berlin)
-
J. L. Kaplan and J. A. Yorke, in Functional Differential Equations and Approximations of Fixed Points, Lecture Notes in Mathematics, edited by H.-O. Peitgen and H.-O. Walter (Springer, Berlin, 1979), pp. 204-227.
-
(1979)
Functional Differential Equations and Approximations of Fixed Points
, pp. 204-227
-
-
Kaplan, J.L.1
Yorke, J.A.2
-
56
-
-
0018508810
-
-
K. Ikeda, Opt. Commun. 30, 257 (1979); S. M. Hammel, C. K. R. T. Jones, and J. V. Moloney, J. Opt. Soc. Am. B 2, 552 (1985).
-
(1979)
Opt. Commun.
, vol.30
, pp. 257
-
-
Ikeda, K.1
-
57
-
-
84975607677
-
-
K. Ikeda, Opt. Commun. 30, 257 (1979); S. M. Hammel, C. K. R. T. Jones, and J. V. Moloney, J. Opt. Soc. Am. B 2, 552 (1985).
-
(1985)
J. Opt. Soc. Am. B
, vol.2
, pp. 552
-
-
Hammel, S.M.1
Jones, C.K.R.T.2
Moloney, J.V.3
-
60
-
-
0000906011
-
-
Y.-C. Lai, C. Grebogi, I. A. Yorke, and I. Kan, Nonlinearity 6, 779 (1993).
-
(1993)
Nonlinearity
, vol.6
, pp. 779
-
-
Lai, Y.-C.1
Grebogi, C.2
Yorke, I.A.3
Kan, I.4
-
62
-
-
84958290550
-
-
note
-
This parameter drift does take the system through periodic windows, an expected result since periodic windows typically are dense in chaotic regions of parameter space (Ref. 51). However, for this parameter range, chaos is typical, and indeed we see in Fig. 8(b) that the signal is predominantly chaotic throughout.
-
-
-
-
67
-
-
85035246836
-
-
R. Q. Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger, Phys. Rev. E 66, 041903 (2002); R. Q. Quiroga, T. Kreuz, and P. Grassberger, ibid. 66, 041904 (2002).
-
(2002)
Phys. Rev. E
, vol.66
, pp. 041903
-
-
Quiroga, R.Q.1
Kraskov, A.2
Kreuz, T.3
Grassberger, P.4
-
68
-
-
85036425679
-
-
R. Q. Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger, Phys. Rev. E 66, 041903 (2002); R. Q. Quiroga, T. Kreuz, and P. Grassberger, ibid. 66, 041904 (2002).
-
(2002)
Phys. Rev. E
, vol.66
, pp. 041904
-
-
Quiroga, R.Q.1
Kreuz, T.2
Grassberger, P.3
-
69
-
-
0000248127
-
-
P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. 81, 3291 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3291
-
-
Tass, P.1
Rosenblum, M.G.2
Weule, J.3
Kurths, J.4
Pikovsky, A.5
Volkmann, J.6
Schnitzler, A.7
Freund, H.-J.8
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