2 papers
math.DS2024
Bifurcations in the family of billiards associated with the curvature flow
C. Salazar, J. G. Damasceno, M. J. D. Carneiro
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 bif…
math.DS2022
Hyperbolicity and Abundance of Elliptical Islands in Annular Billiards
R. B. Batista, M. J. Dias Carneiro, S. Oliffson Kamphorst
We study the billiard dynamics in annular tables between two excentric circles. As the center and the radius of the inner circle change, a two parameters map is defined by the firs…