2 papers
math.DS2022
Break-up of resonant invariant circles in perturbations of the geodesic circular billiard on surfaces of constant curvature
Luciano Coutinho dos Santos, Sônia Pinto-de-Carvalho
We study the non-persistence of horizontal invariant circles for geodesically convex perturbations of the geodesic circular billiard on surfaces of constant curvature and show that…
math.DS2014
Periodic Orbits of Oval Billiards on Surfaces of Constant Curvature
Luciano Coutinho dos Santos, Sonia Pinto-de-Carvalho
In this paper we define and study the billiard problem on bounded regions on surfaces of constant curvature. We show that this problem defines a 2-dimensional conservative and reve…