Document Zbl 1164.37315

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Stickiness of trajectories in a perturbed Anosov system. (English) Zbl 1164.37315

Regul. Chaotic Dyn. 11, No. 2, 329-336 (2006).

Summary: 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 Poincaré recurrences with power-like tails in contrast to the in the Anosov-type systems.

MSC:

37D10	Invariant manifold theory for dynamical systems
37M25	Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.)

Keywords:

Anosov system; sticky trajectories; Poincaré recurrences

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