One of the goals of this dissertation is to understand some properties and theorems of classic convex billiards that are twist maps whose generating function is the distance between two hits. In addition, we will introduce ...

One of the objectives of this paper was to understand Birkhoff's Invariant Curve Theorem which was first demonstrated by Birkhoff himself and has as an important consequence that every invariant rotational curve projects ...

This research has as main objective to study a primary instability region o a billiard application to establish conditions to get a Mather’s theorem in a certain topology on ovals billiards and the destruction of nonconvex ...

This work presents a framework for billiards on convex domains in a two dimensional Riemannian manifold. In this context, some basic properties that have long been known for billiards on the plane such as differentiability ...

In this work we discuss the hexagonal string billiard, introduced by Fetter. Numerical experiments suggests a possible integrability of the billiard map, contradicting Birkhoff’s Conjecture in C^2 case. We give a proof of ...