2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.DS2023★ 2 cited
Symmetric periodic orbits in symmetric billiards
Geraldo César Ferreira Gonçcalves, Sylvie Oliffson Kamphorst, Sônia Pinto-de-Carvalho
In this text we study billiards on ovals and investigate some consequences of a rotational symmetry of the boundary on the dynamics. As it simplifies some calculations, the symmetr…
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…