The First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards

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dc.creatorKamphorst, Sylvie Oliffson
dc.creatorde Carvalho, Sonia Pinto
dc.date2004-10-14
dc.date.accessioned2026-07-07T05:36:01Z
dc.date.available2026-07-07T05:36:01Z
dc.descriptionIn this work we address the question of proving the stability of elliptic 2-periodic orbits for strictly convex billiards. Eventhough it is part of a widely accepted belief that ellipticity implies stability, classical theorems show that the certainty of stability relies upon more fine conditions. We present a review of the main results and general theorems and describe the procedure to fullfill the supplementary conditions for strictly convex billiards.
dc.descriptionfor programs see http://www.mat.ufmg.br/~syok/papers
dc.identifierhttps://arxiv.org/abs/nlin/0410019
dc.identifierhttp://arxiv.org/abs/nlin/0410019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80854
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.titleThe First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards
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