Entropy decay as a measure of stochasticity in chaotic systems
- 1 April 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (4) , 2852-2855
- https://doi.org/10.1103/physreva.33.2852
Abstract
The series of truncated entropies, approaching the Kolmogorov-Sinai entropy when correlations between increasingly distant signals are taken into account, is considered. A general expression for the related characteristic time is obtained for one-dimensional maps. Evaluating it analytically near the state of maximal entropy and at intermittency we find it reflecting faithfully the degree of stochasticity.Keywords
This publication has 18 references indexed in Scilit:
- Symbolic dynamics and hyperbolic dynamic systemsPublished by Elsevier ,2002
- Generating partitions for the dissipative Hénon mapPhysics Letters A, 1985
- Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent mapJournal of Statistical Physics, 1985
- Calculation of the entropy in chaotic systemsPhysical Review A, 1985
- Computing the Kolmogorov entropy from time signals of dissipative and conservative dynamical systemsPhysical Review A, 1985
- Method of constructing generating partitions for entropy evaluationPhysical Review A, 1984
- Fully developed chaotic 1?d mapsZeitschrift für Physik B Condensed Matter, 1984
- Properties of fully developed chaos in one-dimensional mapsJournal of Statistical Physics, 1984
- Symbolic dynamics of noisy chaosPhysica D: Nonlinear Phenomena, 1983
- Chaotic Attractors in CrisisPhysical Review Letters, 1982