-
1
-
-
49049151403
-
Symbolic dynamics and hyperbolic dynamic systems
-
Alekseev, V. M. & Yakobson, M. V. [1980] "Symbolic dynamics and hyperbolic dynamic systems," Phys. Rep. 75, 290-325.
-
(1980)
Phys. Rep.
, vol.75
, pp. 290-325
-
-
Alekseev, V.M.1
Yakobson, M.V.2
-
5
-
-
48749145105
-
Symbolic dynamics of noisy chaos
-
Crutchfield, J. P. & Packard, N. H. [1983] "Symbolic dynamics of noisy chaos," Physica 7D, 201-223.
-
(1983)
Physica
, vol.7 D
, pp. 201-223
-
-
Crutchfield, J.P.1
Packard, N.H.2
-
6
-
-
4244047272
-
Generalized entropy decay rates of one-dimensional maps
-
Csordás, A. & Szépfalusy, P. [1988] "Generalized entropy decay rates of one-dimensional maps," Phys. Rev. A38, 2582-2587.
-
(1988)
Phys. Rev.
, vol.A38
, pp. 2582-2587
-
-
Csordás, A.1
Szépfalusy, P.2
-
7
-
-
0002631634
-
Statistical properties of chaos demonstrated in a class of one-dimensional maps
-
Csordás, A., Györgyi, G., Szépfalusy, P. & Tél, T. [1993] "Statistical properties of chaos demonstrated in a class of one-dimensional maps," Chaos 3, 31-49.
-
(1993)
Chaos
, vol.3
, pp. 31-49
-
-
Csordás, A.1
Györgyi, G.2
Szépfalusy, P.3
Tél, T.4
-
8
-
-
35949018382
-
Ergodic theory of chaos and strange attractors
-
Eckmann, J. P. & Ruelle, D. [1985] "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617-656.
-
(1985)
Rev. Mod. Phys.
, vol.57
, pp. 617-656
-
-
Eckmann, J.P.1
Ruelle, D.2
-
9
-
-
0040335709
-
Information dimension and the probabilistic structure of chaos
-
Farmer, J. D. [1982] "Information dimension and the probabilistic structure of chaos," Z. Naturforsch. 37a, 1304-1325.
-
(1982)
Z. Naturforsch.
, vol.37 A
, pp. 1304-1325
-
-
Farmer, J.D.1
-
10
-
-
0001667711
-
Entropy of the symbolic sequence for critical circle maps
-
Gramss, T. [1994] "Entropy of the symbolic sequence for critical circle maps," Phys. Rev. E50, 2616-2620.
-
(1994)
Phys. Rev.
, vol.E50
, pp. 2616-2620
-
-
Gramss, T.1
-
11
-
-
4243243202
-
Estimation of the Kolmogorov entropy from a chaotic signal
-
Grassberger, P. & Procaccia, I. [1983] "Estimation of the Kolmogorov entropy from a chaotic signal," Phys. Rev. A28, 2591-2593.
-
(1983)
Phys. Rev.
, vol.A28
, pp. 2591-2593
-
-
Grassberger, P.1
Procaccia, I.2
-
12
-
-
48749149528
-
Generalized dimensions of strange attractors
-
Grassberger, P. [1983] "Generalized dimensions of strange attractors," Phys. Lett. A97, 227.
-
(1983)
Phys. Lett.
, vol.A97
, pp. 227
-
-
Grassberger, P.1
-
13
-
-
0001346065
-
Calculation of the entropy in chaotic systems
-
Györgyi, G. & Szépfalusy, P. [1985] "Calculation of the entropy in chaotic systems," Phys. Rev. A31, 3477-3479.
-
(1985)
Phys. Rev.
, vol.A31
, pp. 3477-3479
-
-
Györgyi, G.1
Szépfalusy, P.2
-
14
-
-
0002213349
-
The decay of correlations in chaotic maps
-
Herzel, H. & Ebeling, W. [1985] "The decay of correlations in chaotic maps," Phys. Lett. 111A, 1-4.
-
(1985)
Phys. Lett.
, vol.111 A
, pp. 1-4
-
-
Herzel, H.1
Ebeling, W.2
-
15
-
-
0001450585
-
A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces
-
Kolmogorov, A. [1958] "A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces," Dokl. Akad. Nauk. SSSR 119, 861-864.
-
(1958)
Dokl. Akad. Nauk. SSSR
, vol.119
, pp. 861-864
-
-
Kolmogorov, A.1
-
16
-
-
36149048755
-
Information theoretical approach to noisy dynamics
-
Matsumoto, K. & Tsuda, I. [1985] "Information theoretical approach to noisy dynamics," J. Phys. A: Math. Gen. 18, 3561-3566.
-
(1985)
J. Phys. A: Math. Gen.
, vol.18
, pp. 3561-3566
-
-
Matsumoto, K.1
Tsuda, I.2
-
17
-
-
0000143686
-
Extended information in one-dimensional maps
-
Matsumoto, K. & Tsuda, I. [1987] "Extended information in one-dimensional maps," Physica 26D, 347-357.
-
(1987)
Physica
, vol.26 D
, pp. 347-357
-
-
Matsumoto, K.1
Tsuda, I.2
-
18
-
-
0000757690
-
Calculation of information flow rate from mutual information
-
Matsumoto, K. & Tsuda, I. [1988] "Calculation of information flow rate from mutual information," J. Phys. A: Math. Gen. 21, 1405-1414.
-
(1988)
J. Phys. A: Math. Gen.
, vol.21
, pp. 1405-1414
-
-
Matsumoto, K.1
Tsuda, I.2
-
19
-
-
0000543733
-
A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
-
Oseledec, V. [1968] "A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems," Trans. Mosc. Math. Soc. 19, 197.
-
(1968)
Trans. Mosc. Math. Soc.
, vol.19
, pp. 197
-
-
Oseledec, V.1
-
20
-
-
4243245982
-
Generalized dimensions and entropies from a measured time series
-
Pawelzik, K. & Schuster, H. G. [1987] "Generalized dimensions and entropies from a measured time series," Phys. Rev. A35, 481-484.
-
(1987)
Phys. Rev.
, vol.A35
, pp. 481-484
-
-
Pawelzik, K.1
Schuster, H.G.2
-
21
-
-
5344241276
-
State predictability and information flow in simple chaotic systems
-
Pompe, B., Kruscha, J. & Leven, R. W. [1986] "State predictability and information flow in simple chaotic systems," Z. Naturforsch. 41a, 801-818.
-
(1986)
Z. Naturforsch.
, vol.41 A
, pp. 801-818
-
-
Pompe, B.1
Kruscha, J.2
Leven, R.W.3
-
22
-
-
33645062909
-
Transinformation of chaotic systems
-
Pompe, B. & Leven, R. W. [1986] "Transinformation of chaotic systems," Physica Scripta 33, 8-13.
-
(1986)
Physica Scripta
, vol.33
, pp. 8-13
-
-
Pompe, B.1
Leven, R.W.2
-
23
-
-
0003207190
-
Measuring statistical dependences in a time series
-
Pompe, B. [1993] "Measuring statistical dependences in a time series," J. Stat. Phys. 73, 587-610.
-
(1993)
J. Stat. Phys.
, vol.73
, pp. 587-610
-
-
Pompe, B.1
-
24
-
-
0028346499
-
On some entropy methods in data analysis
-
Pompe, B. [1994] "On some entropy methods in data analysis," Chaos, Solitons and Fractals 4, 83-96.
-
(1994)
Chaos, Solitons and Fractals
, vol.4
, pp. 83-96
-
-
Pompe, B.1
-
25
-
-
0000651439
-
First-return maps as a unified renormalization scheme for dynamical systems
-
Procaccia, I., Thomae, S. & Tresser, C. [1987] "First-return maps as a unified renormalization scheme for dynamical systems," Phys. Rev. A35, 1884-1900.
-
(1987)
Phys. Rev.
, vol.A35
, pp. 1884-1900
-
-
Procaccia, I.1
Thomae, S.2
Tresser, C.3
-
26
-
-
51249179988
-
An inequality for the entropy of differentiable maps
-
Ruelle, D. [1978] "An inequality for the entropy of differentiable maps," Bol. Soc. Bras. Mat. 9, 83.
-
(1978)
Bol. Soc. Bras. Mat.
, vol.9
, pp. 83
-
-
Ruelle, D.1
-
27
-
-
0010749723
-
The variance of information loss as a characteristic quantity of dynamical chaos
-
Schlögl, F. [1987] "The variance of information loss as a characteristic quantity of dynamical chaos," J. Stat. Phys. 46, 135-145.
-
(1987)
J. Stat. Phys.
, vol.46
, pp. 135-145
-
-
Schlögl, F.1
-
28
-
-
84856043672
-
A mathematical theory of communication
-
Shannon, C. E. [1948] "A mathematical theory of communication," Bell Syst. Tech. J. 27, 379-423.
-
(1948)
Bell Syst. Tech. J.
, vol.27
, pp. 379-423
-
-
Shannon, C.E.1
-
29
-
-
0009520409
-
Strange attractors, chaotic behavior, and information flow
-
Shaw, R. S. [1981] "Strange attractors, chaotic behavior, and information flow," Z. Naturforsch. 36a, 80-112.
-
(1981)
Z. Naturforsch.
, vol.36 A
, pp. 80-112
-
-
Shaw, R.S.1
-
30
-
-
0010666337
-
Statistical-thermodynamic approach to a chaotic dynamical system: Exactly solvable examples
-
Shigematsu, H. [1990] "Statistical-thermodynamic approach to a chaotic dynamical system: exactly solvable examples," J. Stat. Phys. 59, 257-297.
-
(1990)
J. Stat. Phys.
, vol.59
, pp. 257-297
-
-
Shigematsu, H.1
-
31
-
-
0000419815
-
On the concept of entropy for a dynamic system
-
Sinai, Y. G. [1959] "On the concept of entropy for a dynamic system," Dokl. Akad. Nauk. SSSR 124, 768-771.
-
(1959)
Dokl. Akad. Nauk. SSSR
, vol.124
, pp. 768-771
-
-
Sinai, Y.G.1
-
32
-
-
0001743342
-
Entropy decay as a measure of stochasticity in chaotic systems
-
Szépfalusy, P. & Györgyi, G. [1986] "Entropy decay as a measure of stochasticity in chaotic systems," Phys. Rev. A33, 2852-2855.
-
(1986)
Phys. Rev.
, vol.A33
, pp. 2852-2855
-
-
Szépfalusy, P.1
Györgyi, G.2
-
33
-
-
0001530590
-
Characterization of chaos and complexity by properties of dynamical entropies
-
Szépfalusy, P. [1989] "Characterization of chaos and complexity by properties of dynamical entropies," Physica Scripta 25, 226-229.
-
(1989)
Physica Scripta
, vol.25
, pp. 226-229
-
-
Szépfalusy, P.1
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