Beyond the First Recurrence in Scar Phenomena

Details Beyond the First Recurrence in Scar Phenomena Beyond the First Recurrence in Scar Phenomena

2000-07-18

arxiv.org/abs/nlin/0007023v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 Postscript figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevE.62.R7583

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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