-
1
-
-
49049151403
-
Symbolic dynamics and hyperbolic dynamic systems
-
Alekseev, V. M. & Yakobson, M. V. [1981] "Symbolic dynamics and hyperbolic dynamic systems," Phys. Rep. 75, 287-325.
-
(1981)
Phys. Rep.
, vol.75
, pp. 287-325
-
-
Alekseev, V.M.1
Yakobson, M.V.2
-
3
-
-
44949274831
-
Symbolic dynamics and characterization of complexity
-
Bai-lin, H. [1991] "Symbolic dynamics and characterization of complexity," Physica D51, 161-176.
-
(1991)
Physica
, vol.D51
, pp. 161-176
-
-
Bai-Lin, H.1
-
7
-
-
48749145105
-
Symbolic dynamics of noisy chaos
-
Crutchfield, J. P. & Packard, N. H. [1983] "Symbolic dynamics of noisy chaos," Physica D7, 201-223.
-
(1983)
Physica
, vol.D7
, pp. 201-223
-
-
Crutchfield, J.P.1
Packard, N.H.2
-
9
-
-
0039928466
-
Entropy and extended memory in discrete chaotic dynamics
-
Ebeling, W., Freund, J. & Rateitschak, K. [1996] "Entropy and extended memory in discrete chaotic dynamics," Int. J. Bifurcation and Chaos 6, 611-625.
-
(1996)
Int. J. Bifurcation and Chaos
, vol.6
, pp. 611-625
-
-
Ebeling, W.1
Freund, J.2
Rateitschak, K.3
-
10
-
-
0026946737
-
Word frequency and entropy of symbolic sequences: A dynamical perspective
-
Ebeling, W. & Nicolis, G. [1992] "Word frequency and entropy of symbolic sequences: A dynamical perspective," Chaos, Solitons & Fractals 2, 635-650.
-
(1992)
Chaos, Solitons & Fractals
, vol.2
, pp. 635-650
-
-
Ebeling, W.1
Nicolis, G.2
-
11
-
-
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
-
12
-
-
0001816458
-
Quantitative universality for a class of nonlinear transformations
-
Feigenbaum, M. J. [1978] "Quantitative universality for a class of nonlinear transformations," J. Stat. Phys. 19, 25-52.
-
(1978)
J. Stat. Phys.
, vol.19
, pp. 25-52
-
-
Feigenbaum, M.J.1
-
13
-
-
0347447535
-
The universal metric properties of nonlinear transformations
-
Feigenbaum, M. J. [1979] "The universal metric properties of nonlinear transformations," J. Stat. Phys. 21, 669-705.
-
(1979)
J. Stat. Phys.
, vol.21
, pp. 669-705
-
-
Feigenbaum, M.J.1
-
14
-
-
0000970729
-
Self similar sequences and universal scaling of dynamical entropies
-
Freund, J., Ebeling, W. & Rateitschak, K. [1996] "Self similar sequences and universal scaling of dynamical entropies," Phys. Rev. E54, 5561-5566.
-
(1996)
Phys. Rev.
, vol.E54
, pp. 5561-5566
-
-
Freund, J.1
Ebeling, W.2
Rateitschak, K.3
-
15
-
-
13844322865
-
Noise, chaos, and (∈, τ)-entropy per unit time
-
Gaspard, P. & Wang, X.-J. [1993] "Noise, chaos, and (∈, τ)-entropy per unit time," Phys. Rep. 235, 291-345.
-
(1993)
Phys. Rep.
, vol.235
, pp. 291-345
-
-
Gaspard, P.1
Wang, X.-J.2
-
17
-
-
0042317681
-
Toward a quantitative theory of self-generated complexity
-
Grassberger, P. [1986] "Toward a quantitative theory of self-generated complexity," Int. J. Theoret. Phys. 25, 907-938.
-
(1986)
Int. J. Theoret. Phys.
, vol.25
, pp. 907-938
-
-
Grassberger, P.1
-
18
-
-
0001013584
-
Quasipotentials for simple noisy maps with complicated dynamics
-
Hamm, A. & Graham, R. [1992] "Quasipotentials for simple noisy maps with complicated dynamics," J. Stat. Phys. 66, 689-725.
-
(1992)
J. Stat. Phys.
, vol.66
, pp. 689-725
-
-
Hamm, A.1
Graham, R.2
-
19
-
-
0000922144
-
Chaos, noise, and synchronization reconsidered
-
Herzel, H. & Freund, J. [1995] "Chaos, noise, and synchronization reconsidered," Phys. Rev. E52, 3238-3241.
-
(1995)
Phys. Rev.
, vol.E52
, pp. 3238-3241
-
-
Herzel, H.1
Freund, J.2
-
20
-
-
0000355615
-
Scaling behavior of chaotic flows
-
Hubermann, B. A. & Rudnick, J. [1980] "Scaling behavior of chaotic flows," Phys. Rev. Lett. 45, 154-156.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 154-156
-
-
Hubermann, B.A.1
Rudnick, J.2
-
23
-
-
0001048955
-
The metric entropy of diffeomorphisms. Part I: Characterization of measures satisfying Pesin's entropy formula ; part II: Relations between entropy, exponents and dimension
-
Ledrappier, F. & Young, L.-S. [1985] "The metric entropy of diffeomorphisms. Part I: Characterization of measures satisfying Pesin's entropy formula" ; "Part II: Relations between entropy, exponents and dimension," Ann. Math. 122, 509-574.
-
(1985)
Ann. Math.
, vol.122
, pp. 509-574
-
-
Ledrappier, F.1
Young, L.-S.2
-
24
-
-
24844433149
-
Generalized Markov coarse graining and spectral decompositions of chaotic piecewise linear maps
-
MacKernan, D. & Nicolis, G. [1994] "Generalized Markov coarse graining and spectral decompositions of chaotic piecewise linear maps," Phys. Rev. E50, 988-999.
-
(1994)
Phys. Rev.
, vol.E50
, pp. 988-999
-
-
MacKernan, D.1
Nicolis, G.2
-
26
-
-
0001413858
-
The basic theorem of information theory
-
McMillan, B. [1953] "The basic theorem of information theory," Ann. Math. Statist. 24, 196-219.
-
(1953)
Ann. Math. Statist.
, vol.24
, pp. 196-219
-
-
McMillan, B.1
-
28
-
-
0010167348
-
Entropy of sequences generated by nonlinear processes: The logistic map
-
ed. Shiner, J. S. (Kluwer, Dordrecht)
-
Rateitschak, K., Freund, J. & Ebeling, W. [1996] "Entropy of sequences generated by nonlinear processes: The logistic map," in Entropy and Entropy Generation: Fundamentals and Applications, ed. Shiner, J. S. (Kluwer, Dordrecht), pp. 11-26.
-
(1996)
Entropy and Entropy Generation: Fundamentals and Applications
, pp. 11-26
-
-
Rateitschak, K.1
Freund, J.2
Ebeling, W.3
-
32
-
-
0001743342
-
Entropy decay as a measure of stochasticity in chaotic systems
-
Szépfalusy, P. & Gyorgyi, G. [1986] "Entropy decay as a measure of stochasticity in chaotic systems," Phys. Rev. 33, 2852-2855.
-
(1986)
Phys. Rev.
, vol.33
, pp. 2852-2855
-
-
Szépfalusy, P.1
Gyorgyi, 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 T25, 226-229.
-
(1989)
Physica Scripta
, vol.T25
, pp. 226-229
-
-
Szépfalusy, P.1
|