The Liapunov exponent as a tool for exploring phase space

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dc.contributor.authorWinter, O. C.
dc.contributor.authorMurray, C. D.
dc.contributor.authorMuzzio, J. C.
dc.contributor.authorFerrazMello, S.
dc.contributor.authorHenrard, J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:21:56Z
dc.date.available2014-05-20T15:21:56Z
dc.date.issued1996-01-01
dc.description.abstractWe have used the Liapunov exponent to explore the phase space of a dynamical system. Considering the planar, circular restricted three-body problem for a mass ratio mu = 10(-3) (close to the Jupiter/Sun case), we have integrated similar to 16,000 starting conditions for orbits started interior to that of the perturber and we have estimated the maximum Liapunov characteristic exponent for each starting condition. Despite the fact that the integrations, in general, are for only a few thousand orbital periods of the secondary, a comparative analysis of the Liapunov exponents for various values of the 'cut-off' gives a good overview of the structure of the phase space. It provides information about the diffusion rates of the various chaotic regions, the location of the regular regions associated with primary resonances and even details such as the location of secondary resonances that produce chaotic regions inside the regular regions of primary resonances.en
dc.description.affiliationUNESP,GRP DINAM ORBITAL & PLANETOL,CP 205,BR-12500000 GUARATINGUETA,SP,BRAZIL
dc.description.affiliationUnespUNESP,GRP DINAM ORBITAL & PLANETOL,CP 205,BR-12500000 GUARATINGUETA,SP,BRAZIL
dc.format.extent215-219
dc.identifierhttp://dx.doi.org/10.1007/978-94-009-0307-4_20
dc.identifier.citationChaos In Gravitational N-body Systems. Dordrecht: Kluwer Academic Publ, p. 215-219, 1996.
dc.identifier.doi10.1007/978-94-009-0307-4_20
dc.identifier.lattes0960024575647258
dc.identifier.urihttp://hdl.handle.net/11449/33016
dc.identifier.wosWOS:A1996BG72A00020
dc.language.isoeng
dc.publisherKluwer Academic Publ
dc.relation.ispartofChaos In Gravitational N-body Systems
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectchaospt
dc.subjectLiapunov exponentspt
dc.subjectorbitspt
dc.titleThe Liapunov exponent as a tool for exploring phase spaceen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderKluwer Academic Publ
unesp.author.lattes0960024575647258
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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Artigos - Matemática - FEG