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Physical Review A

Volumn 43, Issue 6, 1991, Pages 2787-2806

Computing the Lyapunov spectrum of a dynamical system from an observed time series

(3) Brown, Reggie a Bryant, Paul a Abarbanel, Henry D I b

a UNIVERSITY OF CALIFORNIA (United States)

b UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35949009462 PISSN: 10502947 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevA.43.2787 Document Type: Article

Times cited : (339)

References (39)

1
- 35949018382
- (1985) Rev. Mod. Phys. , vol.57 , pp. 617
- Eckmann, J.-P.¹ Ruelle, D.²

2
- 0038434713
- (1968) Tr. Mosk. Mat. Obsc. Moscow Math. Soc. , vol.19 , pp. 17
- Oseledec, V.I.¹

3
- 0001450585
- (1958) Dokl. Akad. Nauk SSSR , vol.119 , pp. 861
- Kolmogorov, A.N.¹

4
- 84926863317
- (1959) Dokl. Akad. Nauk SSSR , vol.124 , pp. 386
- Sinai, Y.¹

5
- 84961291543
- (1977) Usp. Mat. Nauk , vol.32 , pp. 55
- Pesin, Y.B.¹

6
- 0002663808
- (1977) Russian Math. Survey , vol.32 , pp. 55

7
- 0000339553
- (1987) Physica D , vol.24 , pp. 213
- Greene, J.M.¹ Kim, J.S.²

8
- 0000779360
- edited by, R. Rand, L. S. Young, Springer, Berlin
- (1981) Dynamical Systems and Turbulence, Warwick, 1980, Vol. 898 of Lecture Notes in Mathematics , pp. 366
- Takens, F.¹

9
- 0003290175
- edited by, D. Rand, L. S. Young, Springer, Berlin
- (1981) Dynamical Systems and Turbulence, Warwick, 1980, Vol. 898 of Lecture Notes in Mathematics , pp. 230
- Mañé, R.¹

10
- 6444240297
- D.Ruelle and
- (1986) Phys. Rev. A , vol.34 , pp. 4971
- Eckmann, J.-P.¹ Kamphorst, S.O.² Ciliberto, S.³

11
- 84926797673
- We refer to this work as EKRC.

12
- 0006846310
- (1980) Phys. Lett. , vol.138 A , pp. 401
- Abarbanel, H.D.I.¹ Brown, R.² Kadtke, J.B.³

13
- 35949012282
- (1990) Phys. Rev. A , vol.41 , pp. 1782
- Abarbanel, H.D.I.¹ Brown, R.² Kadtke, J.B.³

14
- 0018989294
- (1980) Meccanica , vol.15 , pp. 9
- Benetinn, G.¹ Galani, L.² Giorgilli, A.³ Strelcyn, J.-M.⁴

15
- 0021224909
- (1985) Physica D , vol.16 , pp. 285
- Wolf, A.¹ Swift, J.B.² Swinney, H.L.³ Vastano, J.A.⁴

16
- 0001394076
- (1985) Phys. Rev. Lett. , vol.53 , pp. 1082
- Sano, M.¹ Sawada, Y.²

17
- 0002591468
- (1976) Commun. Math. Phys. , vol.50 , pp. 69
- Hénon, M.¹

18
- 0018508810
- K. Ikeda Opt. Commun. 30, 257 (1979).
- (1979) Opt. Commun. , vol.30 , pp. 257
- Ikeda, K.¹

19
- 33646989030
- (1986) Phys. Rev. Lett. , vol.57 , pp. 1284
- Grebogi, C.¹ Ott, E.² Yorke, J.A.³

20
- 0000241853
- Deterministic Nonperiodic Flow
- (1963) Journal of the Atmospheric Sciences , vol.20 , pp. 130
- Lorenz, E.N.¹

21
- 0017714604
- (1977) Science , vol.197 , pp. 287
- Mackey, M.C.¹ Glass, L.²

22
- 49049134700
- (1982) Physica D , vol.4 , pp. 366
- Farmer, J.D.¹

23
- 33646981873
- (1983) Phys. Rev. Lett. , vol.50 , pp. 346
- Grassberger, P.¹ Procaccia, I.²

24
- 40749093037
- (1983) Physica D , vol.9 , pp. 189
- Grassberger, P.¹ Procaccia, I.²

25
- 84926819604
- J. L. Kaplan, and J. A. Yorke, Chaotic Behavior of Multidimensional Difference Equations, Vol. 730 of Lecture Notes in Mathematics (Springer, Berlin, 1979), pp. 228-237.

26
- 48749146954
- (1983) J. Diff. Eq. , vol.49 , pp. 185
- Frederickson, P.¹ Kaplan, J.² Yorke, E.³ Yorke, J.⁴

27
- 0021466584
- Universal coding, information, prediction, and estimation
- Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989). We are most grateful to Dr. Rissanen for numerous discussions about the connection between information theory and dynamics.
- (1984) IEEE Transactions on Information Theory , vol.30 IT , pp. 629
- Rissanen, J.¹

28
- 0003587067
- Wiley, New York
- (1988) Sensitivity Analysis in Linear Regression
- Chatterjee, S.¹ Hadi, A.S.²

29
- 5844249871
- (1989) Phys. Rev. Lett. , vol.63 , pp. 923
- Ditto, W.L.¹ Rauseo, S.² Cawley, R.³ Grebogi, C.⁴ Hsu, G.-H.⁵ Kostelich, E.⁶ Ott, E.⁷ Savage, H.T.⁸ Segnan, R.⁹ Spano, M.L.¹⁰ Yorke, J.A.¹¹

30
- 34548696055
- (1986) Phys. Rev. A , vol.33 , pp. 1134
- Fraser, A.M.¹ Swinney, H.L.²

31
- 0024627335
- (1989) IEEE Trans. Inf. Theory , vol.35 , pp. 245
- Fraser, A.M.¹

32
- 0001628622
- (1989) Physica D , vol.34 , pp. 391
- Fraser, A.M.¹

33
- 0009520409
- (1981) Z. Naturforsch. Teil A , vol.36 , pp. 80
- Shaw, R.¹

34
- 84926863316
- Aberbanel, H.D.I.¹ Kadtke, J.B.²

35
- 84870580329
- Cambridge University Press, New York
- (1986) Numerical Recipes
- Press, W.H.¹ Flannery, B.² Teulkolsky, S.³ Vetterling, W.⁴

36
- 84926863315
- Also see J.-P. Eckmann and D. Ruelle (unpublished).

37
- 84926819603
- We numerically performed a surface-of-section experiment of the Duffing equation. After performing the mutual information calculation on the surface of section data, we find that the resulting graphs are virtually indistinguishable from Fig. 3.

38
- 84945709355
- (1977) ACM Trans. Math. Software , vol.3 , pp. 209
- Friedman, J.H.¹ Bentley, J.L.² Finkel, R.A.³

39
- 0003555195
- SIAM, Philadelphia
- (1979) LINPACK Users' Guide
- Dongarra, J.J.¹ Bunch, J.R.² Moler, C.B.³ Stewart, G.W.⁴

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