In this paper we prove that the billiard problem on surfaces of constant curvature defines a 2-dimensional conservative and reversible dynamical system, defined by a Twist diffeomorphism, if the boundary curve is a regular, simple, closed, strictly geodesically convex curve and at least C2 curve.
Reflection in strictly convex bounded planar billiard acts on the space of oriented lines and prese...
We consider classical dynamical properties of a particle in a constant gravitational force and makin...
We develop a framework for dealing with smooth approximations to billiards with corners in the two-d...
This work presents a framework for billiards in convex domains on two dimensional Riemannian manifol...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
Let P be a simple, closed polygon in the plane, all interior angles of which are rational multiples ...
Je ne peux pas deposer l'article en anglais au cause du probleme avec le copyright. Je depose donc, ...
Some dynamical properties for a classical particle confined inside a closed region with an elliptica...
The frictionless motion of a particle on a plane billiard table The frictionless motion of a particl...
Mathematical billiard is a dynamical system studying the motion of a mass point inside a domain. The...
We consider algebraic geometrical properties of the integrable billiard on a quadric $Q$ with elasti...
Consideraremos uma curva simples, fechada e geodesicamente estritamente convexa na esfera ou no plan...
We consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic...
Descrevemos algumas propriedades dinâmicas de uma família de aplicações bilhares sobre curvas convex...
Some dynamical properties for an oval billiard with a scatterer in its interior are studied. The dyn...
Reflection in strictly convex bounded planar billiard acts on the space of oriented lines and prese...
We consider classical dynamical properties of a particle in a constant gravitational force and makin...
We develop a framework for dealing with smooth approximations to billiards with corners in the two-d...
This work presents a framework for billiards in convex domains on two dimensional Riemannian manifol...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
Let P be a simple, closed polygon in the plane, all interior angles of which are rational multiples ...
Je ne peux pas deposer l'article en anglais au cause du probleme avec le copyright. Je depose donc, ...
Some dynamical properties for a classical particle confined inside a closed region with an elliptica...
The frictionless motion of a particle on a plane billiard table The frictionless motion of a particl...
Mathematical billiard is a dynamical system studying the motion of a mass point inside a domain. The...
We consider algebraic geometrical properties of the integrable billiard on a quadric $Q$ with elasti...
Consideraremos uma curva simples, fechada e geodesicamente estritamente convexa na esfera ou no plan...
We consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic...
Descrevemos algumas propriedades dinâmicas de uma família de aplicações bilhares sobre curvas convex...
Some dynamical properties for an oval billiard with a scatterer in its interior are studied. The dyn...
Reflection in strictly convex bounded planar billiard acts on the space of oriented lines and prese...
We consider classical dynamical properties of a particle in a constant gravitational force and makin...
We develop a framework for dealing with smooth approximations to billiards with corners in the two-d...