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Chaos in the square billiard with a modified reflection law

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dc.contributor.authorDel Magno, Gianluigi
dc.contributor.authorDias, João Lopes
dc.contributor.authorDuarte, Pedro
dc.contributor.authorGaivão, José Pedro
dc.contributor.authorPinheiro, Diogo
dc.date.accessioned2023-10-10T15:19:00Z
dc.date.available2023-10-10T15:19:00Z
dc.date.issued2012
dc.description.abstractThe 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationDel 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)pt_PT
dc.identifier.doidoi.org/10.1063/1.3701992pt_PT
dc.identifier.eissn1089-7682
dc.identifier.urihttp://hdl.handle.net/10400.5/28949
dc.language.isoengpt_PT
dc.publisherAmerican Institute of Physicspt_PT
dc.subjectBilliard Mappt_PT
dc.subjectReflection Lawpt_PT
dc.subjectHyperbolicitypt_PT
dc.subjectAttractors and Horseshoespt_PT
dc.titleChaos in the square billiard with a modified reflection lawpt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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