首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Chaos in the square billiard with a modified reflection law
Authors:Del Magno Gianluigi  Lopes Dias João  Duarte Pedro  Gaivão José Pedro  Pinheiro Diogo
Institution:CEMAPRE, ISEG, Universidade Te?cnica de Lisboa, Rua do Quelhas 6, 1200-781 Lisboa, Portugal. delmagno@iseg.utl.pt
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.
Keywords:
本文献已被 PubMed 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号