Elliptic Islands on Strictly Convex Billiards

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dc.creatorCarneiro, Mario Jorge Dias
dc.creatorKamphorst, Sylvie Oliffson
dc.creatorDe Carvalho, Sonia Pinto
dc.date2002-01-11
dc.date.accessioned2026-07-07T04:45:48Z
dc.date.available2026-07-07T04:45:48Z
dc.descriptionThis paper addresses the question of genericity of existence of elliptic islands for the billiard map associated to strictly convex closed curves. More precisely, we study 2-periodic orbits of billiards associated to C5 closed and strictly convex curves and show that the existence of elliptic islands is a dense property on the subset of those billiards having an elliptic 2-periodic point. Our main tools are normal perturbations, the Birkhoff Normal Form for elliptic fixed points and Moser's Twist Theorem.
dc.description12 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0201096
dc.identifierhttp://arxiv.org/abs/math/0201096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63091
dc.subjectDynamical Systems
dc.subject37C05, 37E40, 70K42
dc.titleElliptic Islands on Strictly Convex Billiards
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