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.creatorEuzebio, Rodrigo D.
dc.creatorLlibre, Jaume
dc.date2015-10-21T13:14:36Z
dc.date2016-10-25T21:00:37Z
dc.date2015-10-21T13:14:36Z
dc.date2016-10-25T21:00:37Z
dc.date2015-04-01
dc.date.accessioned2017-04-06T09:01:52Z
dc.date.available2017-04-06T09:01:52Z
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.identifierhttp://acervodigital.unesp.br/handle/11449/128859
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2014.10.077
dc.identifierWOS:000348488700027
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0022247X14010154
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/939415
dc.descriptionIn 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.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageeng
dc.publisherElsevier B.V.
dc.relationJournal Of Mathematical Analysis And Applications
dc.rightsinfo:eu-repo/semantics/closedAccess
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.typeOtro


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