M. Edelman

Address: New York 10012, USA

E-mail: edelman@cims.nyu.edu

University: Courant Institute of Mathematical Sciences, New York University

Publications:

Zaslavsky G. M., Edelman M.

Stickiness of trajectories in a perturbed Anosov system
2006, vol. 11, no. 2, pp. 329-336

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 Poincaré recurrences with power-like tails in contrast to the exponential distribution in the Anosov-type systems

Keywords: Anosov systems, sticky trajectories, Poincaré recurrences

Citation: Zaslavsky G. M., Edelman M., Stickiness of trajectories in a perturbed Anosov system , Regular and Chaotic Dynamics, 2006, vol. 11, no. 2, pp. 329-336

DOI: 10.1070/RD2006v011n02ABEH000356

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