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Beyond the First Recurrence in Scar Phenomena

D. A. Wisniacki, F. Borondo, E. Vergini, R. M. Benito

nlin.CDarXiv:nlin/0007023

Abstract

The scarring effect of short unstable periodic orbits up to times of the order of the first recurrence is well understood. Much less is known, however, about what happens past this short-time limit. By considering the evolution of a dynamically averaged wave packet, we show that the dynamics for longer times is controlled by only a few related short periodic orbits and their interplay.

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