%0 Journal Article %T Stickiness of Trajectories in a Perturbed Anosov System %A G. M. Zaslavsky %A M. Edelman %J Physics %D 2005 %I arXiv %X 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. %U http://arxiv.org/abs/nlin/0511027v1