Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:28:44Z
dc.date.available2014-05-27T11:28:44Z
dc.date.created2014-05-27T11:28:44Z
dc.date.issued2013-04-01
dc.identifierJournal of Dynamical and Control Systems, v. 19, n. 2, p. 173-193, 2013.
dc.identifier1079-2724
dc.identifier1573-8698
dc.identifierhttp://hdl.handle.net/11449/74906
dc.identifier10.1007/s10883-013-9169-4
dc.identifierWOS:000317862500002
dc.identifier2-s2.0-84880701318
dc.identifier6050955861168161
dc.identifier6682867760717445
dc.identifier0000-0002-1430-5986
dc.identifier0000-0003-2037-8417
dc.description.abstractThis paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By means of a regularization process we prove that hyperbolic closed poly-trajectories are limit sets of a sequence of limit cycles of smooth vector fields. In our approach the Poincaré Index for non-smooth vector fields is introduced. © 2013 Springer Science+Business Media New York.
dc.languageeng
dc.relationJournal of Dynamical and Control Systems
dc.relation0.693
dc.relation0,316
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectclosed poly-trajectory
dc.subjectheteroclinic orbits
dc.subjectLimit cycles
dc.subjectnon-smooth vector fields
dc.subjectPoincaré index
dc.subjectsingular perturbation
dc.subjectvector fields
dc.subjectHeteroclinic orbit
dc.subjectLimit cycle
dc.subjectNon-smooth vector fields
dc.subjectPoincare
dc.subjectSingular perturbations
dc.subjectVector fields
dc.subjectTrajectories
dc.subjectVectors
dc.titleClosed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
dc.typeArtículos de revistas


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