Statistics of Poincaré recurrences for maps with integrable and ergodic components

DOI10.1063/1.1629191zbMath1080.37005OpenAlexW1992203513WikidataQ52002033 ScholiaQ52002033MaRDI QIDQ5705393

Luca Rossi, Sandro Vaienti, Aldo Rampioni, Huyi Hu, Giorgio Turchetti

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8a44e0306ff36ded390135dbced649d4b824fbc8

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items

Fidelity and reversibility in the restricted three body problem, Errors, correlations and fidelity for noisy Hamilton flows. Theory and numerical examples, Multiple returns for some regular and mixing maps, Numerical convergence of the block-maxima approach to the generalized extreme value distribution, Recurrence time statistics for finite size intervals, ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR, GENERALIZED EXTREME VALUE DISTRIBUTION PARAMETERS AS DYNAMICAL INDICATORS OF STABILITY, CRISIS-INDUCED INTERMITTENCY IN HAMILTONIAN SYSTEMS, Statistics of Poincaré recurrences for a class of smooth circle maps, Averaged number of visits

Cites Work

• The distribution of the first return time for rational maps.
• The limiting distribution and error terms for return times of dynamical systems
• Statistics of return times for weighted maps of the interval
• Statistics of return times: A general framework and new applications
• Possible limit laws for entrance times of an ergodic aperiodic dynamical system.
• A model of modulated diffusion. I: Analytical results
• Limit laws of entrance times for homeomorphisms of the circle
• Poisson limit law for Markov chains
• Weak chaos and Poincar  recurrences for area preserving maps
• Symbolic dynamics for sticky sets in Hamiltonian systems
• Statistics of return times in a self-similar model
• Statistical properties of equilibrium states for rational maps
• Poisson law for Axiom A diffeomorphisms
• Weak mixing and anomalous kinetics along filamented surfaces