On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones

dc.contributorUniversidade Federal do ABC (UFABC)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-10-21T13:14:37Z
dc.date.available2015-10-21T13:14:37Z
dc.date.created2015-10-21T13:14:37Z
dc.date.issued2015-04-01
dc.identifierInternational Journal Of Bifurcation And Chaos, v. 25, n. 4, p. 13, 2015.
dc.identifier0218-1274
dc.identifierhttp://hdl.handle.net/11449/128860
dc.identifier10.1142/S0218127415500595
dc.identifierWOS:000353953500015
dc.identifier3724937886557424
dc.identifier0000-0001-6790-1055
dc.description.abstractLima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, they proved that this class admits always a unique limit cycle, which is hyperbolic. The class studied in [Lima &Llibre, 2012] belongs to a larger set of planar continuous piecewise linear vector fields with three zones that can be separated into four other classes. Here, we consider some of these classes and we prove that some of them always admit a unique limit cycle, which is hyperbolic. However we find a class that does not have limit cycles.
dc.languageeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relationInternational Journal Of Bifurcation And Chaos
dc.relation1.501
dc.relation0,568
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectPiecewise linear vector fields
dc.subjectPoincare map
dc.subjectlimit cycles
dc.subjectcenter
dc.subjectfocus
dc.titleOn the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución