On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Autonoma Barcelona
dc.date.accessioned2015-10-21T13:14:36Z
dc.date.available2015-10-21T13:14:36Z
dc.date.created2015-10-21T13:14:36Z
dc.date.issued2015-04-01
dc.identifierJournal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 424, n. 1, p. 475-486, 2015.
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11449/128859
dc.identifier10.1016/j.jmaa.2014.10.077
dc.identifierWOS:000348488700027
dc.description.abstractIn this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationJournal Of Mathematical Analysis And Applications
dc.relation1.138
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectNon-smooth differential system
dc.subjectLimit cycle
dc.subjectPiecewise linear differential system
dc.titleOn the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
dc.typeArtículos de revistas


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