LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION

dc.creatorLlibre, J
dc.creatorTeixeira, MA
dc.creatorTorregrosa, J
dc.date2013
dc.dateAPR
dc.date2014-07-30T13:39:08Z
dc.date2015-11-26T16:35:02Z
dc.date2014-07-30T13:39:08Z
dc.date2015-11-26T16:35:02Z
dc.date.accessioned2018-03-28T23:17:25Z
dc.date.available2018-03-28T23:17:25Z
dc.identifierInternational Journal Of Bifurcation And Chaos. World Scientific Publ Co Pte Ltd, v. 23, n. 4, 2013.
dc.identifier0218-1274
dc.identifierWOS:000319129000011
dc.identifier10.1142/S0218127413500661
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/52800
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/52800
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1271387
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionIn this paper, we provide a lower bound for the maximum number of limit cycles of planar discontinuous piecewise linear differential systems defined in two half-planes separated by a straight line. Here, we only consider nonsliding limit cycles. For those systems, the interior of any limit cycle only contains a unique equilibrium point or a unique sliding segment. Moreover, the linear differential systems that we consider in every half-plane can have either a focus (F), or a node (N), or a saddle (S), these equilibrium points can be real or virtual. Then, we can consider six kinds of planar discontinuous piecewise linear differential systems: FF, FN, FS, NN, NS, SS. We provide for each of these types of discontinuous differential systems examples with two limit cycles.
dc.description23
dc.description4
dc.descriptionMICIIN/FEDER [MTM2008-03437]
dc.descriptionAGAUR [2009SGR-0410]
dc.descriptionICREA Academia
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionMICIIN/FEDER [MTM2008-03437]
dc.descriptionAGAUR [2009SGR-0410]
dc.descriptionFAPESP [2007/06896-5]
dc.descriptionCAPES [PHB-2009-0025-PC]
dc.languageen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.publisherSingapore
dc.publisherSingapura
dc.relationInternational Journal Of Bifurcation And Chaos
dc.relationInt. J. Bifurcation Chaos
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectNonsmooth differential system
dc.subjectlimit cycle
dc.subjectpiecewise linear differential system
dc.subjectBifurcation
dc.titleLOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
dc.typeArtículos de revistas


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