Generic Oval Billiards

Simple item page
dc.creatorCarneiro, M. J. Dias
dc.creatorKamphorst, S. Oliffson
dc.creatorPinto-de-Carvalho, S.
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:55Z
dc.date.available2026-07-07T07:59:55Z
dc.descriptionIn this paper we show that, under certain generic conditions, billiards on ovals have only a finite number of periodic orbits, for each period, all non-degenerate and at least one of them is hyperbolic. Moreover, the invariant curves of two hyperbolic points are transversal. We explore these properties to give some dynamical consequences specially about the dynamics in the instability regions.
dc.description14 pages with 1 figure
dc.identifierhttps://arxiv.org/abs/0705.0948
dc.identifierhttp://arxiv.org/abs/0705.0948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128548
dc.subjectDynamical Systems
dc.subjectChaotic Dynamics
dc.subject37C20, 37E40
dc.titleGeneric Oval Billiards
dc.typetext

Files

Collections

arXiv