Stickiness of Trajectories in a Perturbed Anosov System

Details Stickiness of Trajectories in a Perturbed Anosov System Stickiness of Trajectories in a Perturbed Anosov System

2005-11-14

arxiv.org/abs/nlin/0511027v1

Nonlinear Sciences

Chaotic Dynamics

17 pages 5 figures

Scientific paper

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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