A carregar...
Publicação
Chaos in the square billiard with a modified reflection law
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 1.21 MB | Adobe PDF |
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Billiard Map Reflection Law Hyperbolicity Attractors and Horseshoes
Contexto Educativo
Citação
Del Magno, Gianluigi … [et al.] .(2012). "Chaos in the square billiard with a modified reflection law." Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 22, No. 2: 026106. (Search PDF in 2023)
Editora
American Institute of Physics