Prevalence of marginally unstable periodic orbits in chaotic billiards

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dc.creatorAltmann, E. G.
dc.creatorFriedrich, T.
dc.creatorMotter, A. E.
dc.creatorKantz, H.
dc.creatorRichter, A.
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:55:58Z
dc.date.available2026-07-07T08:55:58Z
dc.descriptionThe dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both {\it exist} and {\it strongly influence} the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.
dc.description6 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0711.4585
dc.identifierhttp://arxiv.org/abs/0711.4585
dc.identifierPhys. Rev. E 77, 016205 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.016205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146454
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titlePrevalence of marginally unstable periodic orbits in chaotic billiards
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