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dc.contributor |
Universitat de Vic. Escola Politècnica Superior |
|
dc.contributor |
Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
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dc.contributor.author |
Corbera Subirana, Montserrat |
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dc.contributor.author |
Llibre, Jaume |
|
dc.contributor.author |
Pérez-Chavela, Ernesto |
|
dc.date.accessioned |
2013-04-22T09:38:21Z |
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dc.date.available |
2013-04-22T09:38:21Z |
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dc.date.created |
2006 |
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dc.date.issued |
2006 |
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dc.identifier.citation |
CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume; PEREZ-CHAVELA, Ernesto. "Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2". A: Journal of Physics A-Mathematical and General, 2006, vol. 39, núm. 50, pàg. 15313-15326. |
ca_ES |
dc.identifier.issn |
0305-4470 |
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dc.identifier.uri |
http://hdl.handle.net/10854/2215 |
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dc.description.abstract |
In this paper we consider vector fields in R3 that are invariant under a
suitable symmetry and that posses a “generalized heteroclinic loop” L formed by two
singular points (e+ and e
−) and their invariant manifolds: one of dimension 2 (a sphere
minus the points e+ and e
−) and one of dimension 1 (the open diameter of the sphere
having endpoints e+ and e
−). In particular, we analyze the dynamics of the vector
field near the heteroclinic loop L by means of a convenient Poincar´e map, and we prove
the existence of infinitely many symmetric periodic orbits near L. We also study two
families of vector fields satisfying this dynamics. The first one is a class of quadratic
polynomial vector fields in R3, and the second one is the charged rhomboidal four body
problem. |
en |
dc.format |
application/pdf |
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dc.format.extent |
16 p. |
ca_ES |
dc.language.iso |
eng |
en |
dc.publisher |
Institute of Physics |
ca_ES |
dc.rights |
(c) Institute of Physics |
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dc.rights |
Tots els drets reservats |
ca_ES |
dc.subject.other |
Matemàtica |
ca_ES |
dc.title |
Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 |
en |
dc.type |
info:eu-repo/semantics/article |
ca_ES |
dc.identifier.doi |
http://dx-doi.org/doi:10.1088/0305-4470/39/50/001 |
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dc.relation.publisherversion |
http://iopscience.iop.org/0305-4470/39/50/001/ |
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dc.rights.accessRights |
info:eu-repo/semantics/openAccess |
ca_ES |
dc.type.version |
info:eu-repo/acceptedVersion |
ca_ES |
dc.indexacio |
Indexat a SCOPUS |
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dc.indexacio |
Indexat a WOS/JCR |
ca_ES |
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