2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105168We 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.17 pages 5 figuresChaotic DynamicsMathematical Physicstext