Showing math.DSShow all
2 papers · 1 filter
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…