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Bibliographic Details
Main Authors:	Salazar, C., Damasceno, J. G., Carneiro, M. J. D.
Format:	Preprint
Published:	2024
Subjects:	Dynamical Systems
Online Access:	https://arxiv.org/abs/2410.02509
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Table of Contents:

We describe some dynamical properties of one parameter families of billiards on convex curves (ovals) which are deformed by the curvature (curve-shortening) flow. We obtain the bifurcations of the period two orbits and some special non-Birkhoff orbits, the normal periodic orbits. We prove the destruction of non-convex caustics of the ellipse by deforming it through the curvature flow.