1 citations · 1 across the 5 of their papers we have counts for
5 papers
The billiard inside an ellipse deformed by the curvature flow
Josue Damasceno, Mario J. Dias Carneiro, Rafael Ramirez-Ros
The billiard dynamics inside an ellipse is integrable. It has zero topological entropy, four separatrices in the phase space, and a continuous family of convex caustics: the confoc…
A dynamical condition for differentiability of Mather's average action
Alexandre Rocha, Mário J. D. Carneiro
We prove the differentiability of of Mather function on all homology classes corresponding to rotation vectors of measures whose supports are contained in a Lipschitz Lagrangia…
A Generic Property of Exact Magnetic Lagrangians
Mário Jorge Dias Carneiro, Alexandre Rocha
We prove that for the set of Exact Magnetic Lagrangians the property "There exist finitely many static classes for every cohomology class" is generic. We also prove some dynamical…
Generic Oval Billiards
M. J. Dias Carneiro, S. Oliffson Kamphorst, S. Pinto-de-Carvalho
In this paper we show that, under certain generic conditions, billiards on ovals have only a finite number of periodic orbits, for each period, all non-degenerate and at least one…
Elliptic Islands on Strictly Convex Billiards
Mario Jorge Dias Carneiro, Sylvie Oliffson Kamphorst, Sonia Pinto De Carvalho
This paper addresses the question of genericity of existence of elliptic islands for the billiard map associated to strictly convex closed curves. More precisely, we study 2-period…