title: Chaos in the square billiard with a modified reflection law.
abstract: The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflection law such that the angle of reflection of the particle is a linear contraction of the angle of incidence. We present numerical and analytical arguments that the nonwandering set of this billiard decomposes into three invariant sets, a parabolic attractor, a chaotic attractor, and a set consisting of several horseshoes. This scenario implies the positivity of the topological entropy of the billiard, a property that is in sharp contrast with the integrability of the square billiard with the standard reflection law.
authors: CEMAPRE, ISEG, Universidade Técnica de Lisboa, Rua do Quelhas 6, 1200-781 Lisboa, Portugal. delmagno@iseg.utl.pt
authors: Gianluigi
authors: G
authors: Del Magno
authors: João
authors: J
authors: Lopes Dias
authors: Pedro
authors: P
authors: Duarte
authors: José Pedro
authors: JP
authors: Gaivão
authors: Diogo
authors: D
authors: Pinheiro