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Title:	On Birkhoff's conjecture about convex billiards
Author:	Delshams Valdés, Amadeu; Ramírez Ros, Rafael
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Abstract:	Birkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetricentire perturbation of an elliptic billiard is non-integrable.
Publication date:	2012-05-10
Subject(s):	Topological dynamics Hamiltonian systems Measure theory Ergodic theory convex billiards Birkhoff's conjecture Dinàmica topològica Hamilton, Sistemes de Sistemes dinàmics diferenciables Teoria ergòdica Classificació AMS::28 Measure and integration::28D Measure-theoretic ergodic theory Classificació AMS::37 Dynamical systems and ergodic theory::37K Infinite-dimensional Hamiltonian systems Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems Classificació AMS::37 Dynamical systems and ergodic theory::37B Topological dynamics
Rights:	Consulteu les condicions d'ús d'aquest document en el repositori original:http://hdl.handle.net/2117/1189
Document type:	Article
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