Bifurcations in a class of polycycles involving two saddle-nodes on a Mobius band

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dc.creatorPessoa, Claudio
dc.creatorSotomayor, Jorge
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:09:23Z
dc.date.available2026-07-07T10:09:23Z
dc.descriptionIn this paper we study the bifurcations of a class of polycycles, called lips, occurring in generic three-parameter smooth families of vector fields on a Möbius band. The lips consists of a set of polycycles formed by two saddle-nodes, one attracting and the other repelling, connected by the hyperbolic separatrices of the saddle-nodes and by orbits interior to both nodal sectors. We determine, under certain genericity hypotheses, the maximum number of limits cycles that may bifurcate from a graphic belonging to the lips and we describe its bifurcation diagram.
dc.description24 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0810.1951
dc.identifierhttp://arxiv.org/abs/0810.1951
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171304
dc.subjectDynamical Systems
dc.subject34C35; 58F09; 34D30
dc.titleBifurcations in a class of polycycles involving two saddle-nodes on a Mobius band
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