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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/7105
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dc.contributor.authorMessias, Marcelo-
dc.date.accessioned2014-05-20T13:23:32Z-
dc.date.accessioned2016-10-25T16:44:31Z-
dc.date.available2014-05-20T13:23:32Z-
dc.date.available2016-10-25T16:44:31Z-
dc.date.issued2009-03-20-
dc.identifierhttp://dx.doi.org/10.1088/1751-8113/42/11/115101-
dc.identifier.citationJournal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 11, p. 18, 2009.-
dc.identifier.issn1751-8113-
dc.identifier.urihttp://hdl.handle.net/11449/7105-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/7105-
dc.description.abstractIn this paper, by using the Poincare compactification in R(3) we make a global analysis of the Lorenz system, including the complete description of its dynamic behavior on the sphere at infinity. Combining analytical and numerical techniques we show that for the parameter value b = 0 the system presents an infinite set of singularly degenerate heteroclinic cycles, which consist of invariant sets formed by a line of equilibria together with heteroclinic orbits connecting two of the equilibria. The dynamical consequences related to the existence of such cycles are discussed. In particular a possibly new mechanism behind the creation of Lorenz-like chaotic attractors, consisting of the change in the stability index of the saddle at the origin as the parameter b crosses the null value, is proposed. Based on the knowledge of this mechanism we have numerically found chaotic attractors for the Lorenz system in the case of small b > 0, so nearby the singularly degenerate heteroclinic cycles.en
dc.format.extent18-
dc.language.isoeng-
dc.publisherIop Publishing Ltd-
dc.sourceWeb of Science-
dc.titleDynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz systemen
dc.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationUniv Estadual Paulista, Dept Matemat Estat & Computacao, Fac Ciencias & Tecnol, UNESP, BR-19060900 Presidente Prudente, SP, Brazil-
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat Estat & Computacao, Fac Ciencias & Tecnol, UNESP, BR-19060900 Presidente Prudente, SP, Brazil-
dc.identifier.doi10.1088/1751-8113/42/11/115101-
dc.identifier.wosWOS:000263890400003-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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