Master-equation approach to deterministic chaos

DOI10.1103/PhysRevA.38.427zbMath1230.37016WikidataQ52426603 ScholiaQ52426603MaRDI QIDQ3114043

C. Nicolis, Gregoire Nicolis

Publication date: 28 January 2012

Published in: Physical Review A (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsstochastic processdeterministic chaoschaotic attractormaster equationMarkov partitionMarkovian process

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Description of a class of Markov processes equivalent to K-shifts
• Invariant measures for Markov maps of the interval
• The ergodic theory of axiom A flows
• Bernoulli maps of the interval
• Symbolic Dynamics Approach to Intermittent Chaos
• Ergodic theory of chaos and strange attractors
• From instability to irreversibility
• Markov Partitions for Axiom A Diffeomorphisms

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