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2005 The first Birkhoff coefficient and the stability of 2-periodic orbits on billiards
Sylvie Oliffson Kamphorst, Sônia Pinto-de-Carvalho
Experiment. Math. 14(3): 299-306 (2005).

Abstract

In this work we address the question of proving the stability of elliptic 2-periodic orbits for strictly convex billiards. Even though it is part of a widely accepted belief that ellipticity implies stability, classical theorems show that the certainty of stability relies upon more precise conditions. We present a review of the main results and general theorems and describe the procedure to fulfill the supplementary conditions for strictly convex billiards.

Citation

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Sylvie Oliffson Kamphorst. Sônia Pinto-de-Carvalho. "The first Birkhoff coefficient and the stability of 2-periodic orbits on billiards." Experiment. Math. 14 (3) 299 - 306, 2005.

Information

Published: 2005
First available in Project Euclid: 3 October 2005

zbMATH: 1159.37423
MathSciNet: MR2172708

Subjects:
Primary: 37E40, 37J40, 37M99

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 3 • 2005
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