Elliptic Islands on the Elliptical Stadium

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dc.creatorKamphorst, Sylvie Oliffson
dc.creatorde Carvalho, Sonia Pinto
dc.date2000-09-22
dc.date.accessioned2026-07-07T04:37:40Z
dc.date.available2026-07-07T04:37:40Z
dc.descriptionWe investigate the existence of elliptic islands for a special family of periodic orbits of a two-parameter family of maps corresponding to the billiard problem on the elliptical stadium. The hyperbolic or elliptical character of these orbits is also investigated. Depending on the parameters, we obtain upper bounds of ellipticity for this special family as a lower bound for chaos. On a different region of the parameter space, we can prove that there is no upper bound for the existence of elliptic islands. The main results we use are Birkhoff Normal Form and Moser's Twist Theorem.
dc.description12 pages, 6 ps figures
dc.identifierhttps://arxiv.org/abs/math/0009210
dc.identifierhttp://arxiv.org/abs/math/0009210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59988
dc.subjectDynamical Systems
dc.subjectChaotic Dynamics
dc.subject37C05; 37E40
dc.titleElliptic Islands on the Elliptical Stadium
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