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arXiv · 2209.01609

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
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Abstract

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 the result obtained by Ram\'irez-Ros for the planar case, remains true for billiards on surfaces with constant curvature.

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Luciano Coutinho dos Santos, Sônia Pinto-de-Carvalho. 2022-09-04. Break-up of resonant invariant circles in perturbations of the geodesic circular billiard on surfaces of constant curvature. https://arxiv.org/abs/2209.01609

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