New York 10012, USA
Courant Institute of Mathematical Sciences, New York University
Zaslavsky G. M., Edelman M.
Stickiness of trajectories in a perturbed Anosov system
2006, vol. 11, no. 2, pp. 329-336
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