G. Zaslavsky
1. New York 10012
2. 2-4 Washington Place, New York, New York 10003
2. 2-4 Washington Place, New York, New York 10003
1. Courant Institute of Mathematical Sciences, New York University
2. Department of Physics, New York University
2. Department of Physics, New York University
Publications:
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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
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