-
2
-
-
12044249591
-
The analysis of observed chaotic data in physical systems
-
Abarbanel, H. D., Brown, R., Sidorovich, J. and Tsimring, L. S., The analysis of observed chaotic data in physical systems. Rev. Mod. Phys., 1993, 65, 1331-1393.
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 1331-1393
-
-
Abarbanel, H.D.1
Brown, R.2
Sidorovich, J.3
Tsimring, L.S.4
-
3
-
-
0004115585
-
-
Wiley, New York
-
Ott, E., Sauer, T. and Yorke, J. A., Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems. Wiley, New York, 1994.
-
(1994)
Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems
-
-
Ott, E.1
Sauer, T.2
Yorke, J.A.3
-
4
-
-
58149319863
-
-
Holden, A. V. and El Naschie, M. S., Chaos, Solitons & Fractals, 1995, 5, (3/4) (Special Issue).
-
(1995)
Chaos, Solitons & Fractals
, vol.5
, Issue.3-4 SPEC. ISSUE
-
-
Holden, A.V.1
El Naschie, M.S.2
-
5
-
-
0003820053
-
-
A.I.P. Press, Woodbury, NY
-
Belair, J., Glass, L., Heiden, U. and Milton, J., Dynamical Disease: Mathematical Analysis of Human Illness. A.I.P. Press, Woodbury, NY, 1995.
-
(1995)
Dynamical Disease: Mathematical Analysis of Human Illness
-
-
Belair, J.1
Glass, L.2
Heiden, U.3
Milton, J.4
-
6
-
-
0001394076
-
Measurement of the Lyapunov spectrum from a chaotic time series
-
Sano, M. and Sawada, Y., Measurement of the Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett., 1985, 55, 1082-1085.
-
(1985)
Phys. Rev. Lett.
, vol.55
, pp. 1082-1085
-
-
Sano, M.1
Sawada, Y.2
-
7
-
-
6444240297
-
Lyapunov exponents from time series
-
Eckmann, J. P., Kamphorst, S. O., Ruelle, D. and Ciliberto, S., Lyapunov exponents from time series. Phys. Rev. A, 1986, 34, 4971-4979.
-
(1986)
Phys. Rev. A
, vol.34
, pp. 4971-4979
-
-
Eckmann, J.P.1
Kamphorst, S.O.2
Ruelle, D.3
Ciliberto, S.4
-
8
-
-
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, 1992, 56, 185-187.
-
(1992)
Physica D
, vol.56
, pp. 185-187
-
-
Eckmann, J.P.1
Ruelle, D.2
-
9
-
-
0023831076
-
Is the normal heart a periodic oscillator?
-
Babloyantz, A. and Destexhe, A., Is the normal heart a periodic oscillator?. Biol. Cybern., 1989, 58, 203-211.
-
(1989)
Biol. Cybern.
, vol.58
, pp. 203-211
-
-
Babloyantz, A.1
Destexhe, A.2
-
10
-
-
0026462367
-
Complex dynamics underlying the human electrocardiogram
-
Ravelli, F. and Antolini, R., Complex dynamics underlying the human electrocardiogram. Biol. Cybern., 1992, 67, 57-65.
-
(1992)
Biol. Cybern.
, vol.67
, pp. 57-65
-
-
Ravelli, F.1
Antolini, R.2
-
11
-
-
58149320299
-
Correlation dimension estimation from electrocardiograms
-
Casaleggio, A., Corana, A. and Ridella, S., Correlation dimension estimation from electrocardiograms. Chaos, Solitons & Fractals, 1995, 5, 713-726.
-
(1995)
Chaos, Solitons & Fractals
, vol.5
, pp. 713-726
-
-
Casaleggio, A.1
Corana, A.2
Ridella, S.3
-
12
-
-
0025039440
-
Is fibrillation chaos?
-
Kaplan, D. T. and Cohen, R. J., Is fibrillation chaos?. Circ. Res., 1990, 67, 886-892.
-
(1990)
Circ. Res.
, vol.67
, pp. 886-892
-
-
Kaplan, D.T.1
Cohen, R.J.2
-
13
-
-
0030209385
-
Dimensional analysis of the electrical activity in fibrillating isolated hearts
-
Casaleggio, A., Corana, A., Ranjan, R. and Thakor, N. V., Dimensional analysis of the electrical activity in fibrillating isolated hearts. Int. J. Bifurc. Chaos, 1996, 6, 1547-1561.
-
(1996)
Int. J. Bifurc. Chaos
, vol.6
, pp. 1547-1561
-
-
Casaleggio, A.1
Corana, A.2
Ranjan, R.3
Thakor, N.V.4
-
14
-
-
0041623117
-
-
BMEC TR010, MIT, revised version August 1988. Available from Dr George B. Moody, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139
-
MIT-BIH Arrhythmia Database Tape Directory and Format Specifications, BMEC TR010, MIT, revised version August 1988. Available from Dr George B. Moody, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139, 1982.
-
(1982)
MIT-BIH Arrhythmia Database Tape Directory and Format Specifications
-
-
-
15
-
-
35949021230
-
Geometry from a time series
-
Packard, N. H., Crutchfield, J. P., Farmer, J. D. and Shaw, R. S., Geometry from a time series. Phys. Rev. Lett., 1980, 45, 712-716.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 712-716
-
-
Packard, N.H.1
Crutchfield, J.P.2
Farmer, J.D.3
Shaw, R.S.4
-
16
-
-
0000779360
-
Detecting strange attractors in turbulence
-
Springer, Berlin
-
Takens, F., Detecting Strange Attractors in Turbulence. Lecture Notes in Mathematics, Vol. 898. Springer, Berlin, 1981, pp. 366-381.
-
(1981)
Lecture Notes in Mathematics
, vol.898
, pp. 366-381
-
-
Takens, F.1
-
17
-
-
34249988665
-
Extracting qualitative dynamics from experimental data
-
Broomhead, D. S. and King, G. P., Extracting qualitative dynamics from experimental data. Physica D, 1986, 20, 217-236.
-
(1986)
Physica D
, vol.20
, pp. 217-236
-
-
Broomhead, D.S.1
King, G.P.2
-
18
-
-
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, 1986, 33, 1134-1140.
-
(1986)
Phys. Rev. A
, vol.33
, pp. 1134-1140
-
-
Fraser, A.M.1
Swinney, H.L.2
-
19
-
-
0001628622
-
Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria
-
Fraser, A. M., Reconstructing attractors from scalar time series: a comparison of singular system and redundancy criteria. Physica D, 1989, 34, 391-404.
-
(1989)
Physica D
, vol.34
, pp. 391-404
-
-
Fraser, A.M.1
-
20
-
-
0008494528
-
Determining Lyapunov exponents from a time series
-
Wolf, A., Swift, J. B., Swinney, H. L. and Vastano, J. A., Determining Lyapunov exponents from a time series. Physica D, 1985, 16, 285-317.
-
(1985)
Physica D
, vol.16
, pp. 285-317
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
21
-
-
43949166788
-
A practical method for calculating largest Lyapunov exponents from small data sets
-
Rosenstein, M. T., Collins, J. J. and De Luca, C. J., A practical method for calculating largest Lyapunov exponents from small data sets. Physica D, 1993, 65, 117-134.
-
(1993)
Physica D
, vol.65
, pp. 117-134
-
-
Rosenstein, M.T.1
Collins, J.J.2
De Luca, C.J.3
-
22
-
-
0000905883
-
Identification of true and spurious Lyapunov exponents from time series
-
Parlitz, U. Identification of true and spurious Lyapunov exponents from time series. Int. J. Bifurc. Chaos, 1992, 2, 155-165.
-
(1992)
Int. J. Bifurc. Chaos
, vol.2
, pp. 155-165
-
-
Parlitz, U.1
-
23
-
-
35949006791
-
Determining embedding dimension for phase-space reconstruction using a geometrical construction
-
Kennel, M. B., Brown, R. and Abarbanel, H. D., Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A, 1992, 45, 3403-3411.
-
(1992)
Phys. Rev. A
, vol.45
, pp. 3403-3411
-
-
Kennel, M.B.1
Brown, R.2
Abarbanel, H.D.3
-
24
-
-
48749146954
-
The Lyapunov dimension of strange attractors
-
Frederickson, P., Kaplan, J. L., Yorke, E. D. and Yorke, J. A., The Lyapunov dimension of strange attractors. J. Diff. Eq., 1983, 49, 185-207.
-
(1983)
J. Diff. Eq.
, vol.49
, pp. 185-207
-
-
Frederickson, P.1
Kaplan, J.L.2
Yorke, E.D.3
Yorke, J.A.4
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