Hierarchy of chaotic maps with an invariant measure and their coupling

DOI10.1016/S0167-2789(01)00325-6zbMath0986.37026arXivnlin/0208011OpenAlexW3102886871WikidataQ62037210 ScholiaQ62037210MaRDI QIDQ5947759

S. Behnia, Mohammad Ali Jafarizadeh

Publication date: 17 October 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0208011

zbMATH Keywords

numerical simulationsKolmogorov-Sinai entropySinai-Ruelle-Bowen measurecoupled chaotic maps with an invariant measureergodicsingle fixed point attractor

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (6)

Hierarchy of random chaotic maps with an invariant measure ⋮ Global synchronization \& anti-synchronization in \(N\)-coupled map lattices ⋮ PSEUDO RANDOM NUMBER GENERATOR BASED ON SYNCHRONIZED CHAOTIC MAPS ⋮ A novel algorithm for image encryption based on mixture of chaotic maps ⋮ Synchronization in pair-coupled maps with invariant measure ⋮ Hierarchy of one- and many-parameter families of elliptic chaotic maps of \(cn\) and \(sn\) types

Cites Work

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• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Random perturbations of chaotic dynamical systems: stability of the spectrum
• An analytical construction of the SRB measures for Baker-type maps
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics

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