On the existence of infinite heteroclinic cycles in polynomial systems and its dynamic consequences

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dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.authorMeneguette Júnior, Messias [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:30:10Z
dc.date.available2014-05-20T15:30:10Z
dc.date.issued2004-01-01
dc.description.abstractIn this work we consider the dynamic consequences of the existence of infinite heteroclinic cycle in planar polynomial vector fields, which is a trajectory connecting two saddle points at infinity. It is stated that, although the saddles which form the cycle belong to infinity, for certain types of nonautonomous perturbations the perturbed system may present a complex dynamic behavior of the solutions in a finite part of the phase plane, due to the existence of tangencies and transversal intersections of their stable and unstable manifolds. This phenomenon might be called the chaos arising from infinity. The global study at infinity is made via the Poincare Compactification and the argument used to prove the statement is the Birkhoff-Smale Theorem. (c) 2004 WILEY-NCH Verlag GmbH & Co. KGaA, Weinheim.en
dc.description.affiliationUNESP, Dept Matemat Estatist & Comp, Fac Ciências & Tecnol, BR-19060900 São Paulo, Brazil
dc.description.affiliationUnespUNESP, Dept Matemat Estatist & Comp, Fac Ciências & Tecnol, BR-19060900 São Paulo, Brazil
dc.format.extent261-264
dc.identifier.citationIcnaam 2004: International Conference on Numerical Analysis and Applied Mathematics 2004. Weinheim: Wiley-v C H Verlag Gmbh, p. 261-264, 2004.
dc.identifier.lattes3757225669056317
dc.identifier.lattes1531018187057108
dc.identifier.urihttp://hdl.handle.net/11449/39610
dc.identifier.wosWOS:000227717500068
dc.language.isoeng
dc.publisherWiley-Blackwell
dc.relation.ispartofIcnaam 2004: International Conference on Numerical Analysis and Applied Mathematics 2004
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleOn the existence of infinite heteroclinic cycles in polynomial systems and its dynamic consequencesen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dcterms.rightsHolderWiley-Blackwell
unesp.author.lattes3757225669056317
unesp.author.lattes1531018187057108
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept

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Artigos - Matemática e Computação - FCT