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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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.
for programs see http://www.mat.ufmg.br/~syok/papers

Keywords

Chaotic Dynamics, Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/80854

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0410019
 http://arxiv.org/abs/nlin/0410019

Collections

arXiv