Extensive numerical investigations on the ergodic properties of two coupled Pomeau-Manneville maps

DOI10.1016/J.PHYSA.2015.06.001zbMath1400.37045arXiv1410.4806OpenAlexW2170287840MaRDI QIDQ1618750

Cesar Manchein, Roberto Artuso, Matteo Sala

Publication date: 13 November 2018

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

Full work available at URL: https://arxiv.org/abs/1410.4806

zbMATH Keywords

Poincaré recurrencesintermittencycoupled mapsfinite-time Lyapunov exponentsescape times

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Collapse of hierarchical phase space and mixing rates in Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Correlation properties of dynamical chaos in Hamiltonian systems
• Regular and chaotic dynamics.
• Correlation decay and return time statistics.
• Central limit theorem and stable laws for intermittent maps
• Numerical experiments on billiards.
• The synchronization of chaotic systems
• Chaos, fractional kinetics, and anomalous transport
• Dynamics of coupled map lattices and of related spatially extended systems. Lectures delivered at the school-forum CML 2004, Paris, France, June 21 -- July 2, 2004.
• Large deviations for intermittent maps
• Large and moderate deviations for slowly mixing dynamical systems
• Sporadicity: Between periodic and chaotic dynamical behaviors
• Symmetry breaking bifurcation for coupled chaotic attractors
• New universal aspects of diffusion in strongly chaotic systems
• Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points
• Decay of correlations for piecewise smooth maps with indifferent fixed points
• General Poissonian model of diffusion in chaotic components
• Lyapunov exponents and rates of mixing for one-dimensional maps

This page was built for publication: Extensive numerical investigations on the ergodic properties of two coupled Pomeau-Manneville maps