3 papers
nlin.CD2004
The First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards
Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho
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 el…
math.DS2002
Elliptic Islands on Strictly Convex Billiards
Mario Jorge Dias Carneiro, Sylvie Oliffson Kamphorst, Sonia Pinto De Carvalho
This 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-period…
math.DS2000
Elliptic Islands on the Elliptical Stadium
Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho
We 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 s…