Stickiness of Trajectories in a Perturbed Anosov System

2005/11/14 by G. M. Zaslavsky, Zaslavsky, G. M., M. Edelman +1
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0511027

17 pages 5 figures

arxiv created 2005/11/14 · arxiv updated 2009/12/01

Abstract

We consider a perturbation of the Anosov-type system, which leads to the appearance of a hierarchical set of islands-around-islands. We demonstrate by simulation that the boundaries of the islands are sticky to trajectories. This phenomenon leads to the distribution of Poincare recurrences with power-like tails in contrast to the exponential distribution in the Anosov-type systems.

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