Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards

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dc.contributor.authorRatiu, Andrei V.
dc.date.accessioned2021-06-17T07:33:35Z
dc.date.available2021-06-17T07:33:35Z
dc.date.issued2008
dc.description.abstractWe propose a new method to handle the n-dirnensional billiard problem in the exterior of a finite mutually disjoint union of convex (but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean or hyperbolic n-space, and we prove that there exist trajectories visiting the obstacles in any given doubly infinite prescribed order (with the obvious restriction of no consecutive repetition). As an interesting variant of planar billiards, we consider spinning obstacles and particles and prove that any forward sequence of obstacles has a trajectory that follows it.© 2008 Society for Industrial and Applied Mathematics.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.1137/060654189
dc.identifier.issn1536-0040
dc.identifier.scopus2-s2.0-57249086526en_US
dc.identifier.urihttps://hdl.handle.net/11411/3814
dc.identifier.urihttps://doi.org/10.1137/060654189
dc.identifier.wosWOS:000257746300007en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.issue2en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors5+en_US
dc.pages421 - 436en_US
dc.relation.ispartofSIAM Journal on Applied Dynamical Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBilliardsen_US
dc.subjectChaosen_US
dc.subjectDissipativeen_US
dc.subjectEuclideanen_US
dc.titleChaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
dc.typeArticle
dc.volume7en_US

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