Recurrence time statistics in chaotic dynamics. I: Discrete time maps.

DOI10.1007/BF02180204zbMath1079.82539MaRDI QIDQ1285198

K. Appert

Publication date: 1997

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

escape timeMarkov partitionintermittent chaosfully developed chaosRecurrence time

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

A Short Note on the Dependence Structure of a Stochastic Process Generated by the Asymmetric Cusp Map ⋮ Symbolic dynamics and entropy analysis of Feigenbaum limit sets ⋮ Geometric and dynamic perspectives on phase-coherent and noncoherent chaos ⋮ FROM SYMBOLIC DYNAMICS TO A DIGITAL APPROACH ⋮ FROM SYMBOLIC DYNAMICS TO A DIGITAL APPROACH ⋮ DYNAMICAL ASPECTS OF INTERACTION NETWORKS ⋮ RECURRENCE TIME STATISTICS IN CHAOTIC DYNAMICS: MULTIPLE RECURRENCES IN INTERMITTENT CHAOS ⋮ Probabilistic and thermodynamic aspects of dynamical systems

Cites Work

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• Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems
• Master-equation approach to deterministic chaos
• Probabilistic Properties of Deterministic Systems
• Ergodic theory of chaos and strange attractors
• On the notion of recurrence in discrete stochastic processes

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