Symmetric periodic orbits near heteroclinic loops at infinity for a class of polynomial vector fields

Corbera Subirana, Montserrat; Llibre, Jaume

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dc.contributor	Universitat de Vic. Escola Politècnica Superior
dc.contributor	Universitat de Vic. Grup de Recerca en Tecnologies Digitals
dc.contributor.author	Corbera Subirana, Montserrat
dc.contributor.author	Llibre, Jaume
dc.date.accessioned	2013-04-19T12:24:20Z
dc.date.available	2013-04-19T12:24:20Z
dc.date.created	2006
dc.date.issued	2006
dc.identifier.citation	CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume. "Symmetric periodic orbits near heteroclinic loops at infinity for a class of polynomial vector fields". A: International Journal of Bifurcation and Chaos, 2006, vol. 16, núm. 11, pàg. 3401-3410.	ca_ES
dc.identifier.issn	0218-1274
dc.identifier.uri	http://hdl.handle.net/10854/2210
dc.description.abstract	For polynomial vector fields in R3, in general, it is very difficult to detect the existence of an open set of periodic orbits in their phase portraits. Here, we characterize a class of polynomial vector fields of arbitrary even degree having an open set of periodic orbits. The main two tools for proving this result are, first, the existence in the phase portrait of a symmetry with respect to a plane and, second, the existence of two symmetric heteroclinic loops.	en
dc.format	application/pdf
dc.format.extent	11 p.	ca_ES
dc.language.iso	eng	ca_ES
dc.publisher	World Scientific Publishing	ca_ES
dc.rights	Electronic version of an article published as International Journal of Bifurcation and Chaos, 2006, vol. 16, núm. 11, pàg. 3401-3410. [10.1142/S0218127406016884] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/doi/abs/10.1142/S0218127406016884?journalCode=ijbc]
dc.rights	Tots els drets reservats	ca_ES
dc.subject.other	Matemàtica	ca_ES
dc.title	Symmetric periodic orbits near heteroclinic loops at infinity for a class of polynomial vector fields	en
dc.type	info:eu-repo/semantics/article	ca_ES
dc.identifier.doi	https://doi.org/10.1142/S0218127406016884
dc.relation.publisherversion	http://www.worldscientific.com/doi/abs/10.1142/S0218127406016884?journalCode=ijbc
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca_ES
dc.type.version	info:eu-repo/acceptedVersion	ca_ES
dc.indexacio	Indexat a SCOPUS
dc.indexacio	Indexat a WOS/JCR	ca_ES