Stickiness in mushroom billiards

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dc.creatorAltmann, Eduardo G.
dc.creatorMotter, Adilson E.
dc.creatorKantz, Holger
dc.date2005-02-25
dc.date2005-06-03
dc.date.accessioned2026-07-07T05:36:18Z
dc.date.available2026-07-07T05:36:18Z
dc.descriptionWe investigate dynamical properties of chaotic trajectories in mushroom billiards. These billiards present a well-defined simple border between a single regular region and a single chaotic component. We find that the stickiness of chaotic trajectories near the border of the regular region occurs through an infinite number of marginally unstable periodic orbits. These orbits have zero measure, thus not affecting the ergodicity of the chaotic region. Notwithstanding, they govern the main dynamical properties of the system. In particular, we show that the marginally unstable periodic orbits explain the periodicity and the power-law behavior with exponent $γ=2$ observed in the distribution of recurrence times.
dc.description7 pages, 6 figures (corrected version with a new figure)
dc.identifierhttps://arxiv.org/abs/nlin/0502058
dc.identifierhttp://arxiv.org/abs/nlin/0502058
dc.identifierChaos 15, 033105 (2005)
dc.identifierdoi:10.1063/1.1979211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80947
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleStickiness in mushroom billiards
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