Synchronization and Non-Smooth Dynamical Systems

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Autonoma Barcelona
dc.contributorUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T14:02:54Z
dc.date.available2014-05-20T14:02:54Z
dc.date.created2014-05-20T14:02:54Z
dc.date.issued2012-03-01
dc.identifierJournal of Dynamics and Differential Equations. New York: Springer, v. 24, n. 1, p. 1-12, 2012.
dc.identifier1040-7294
dc.identifierhttp://hdl.handle.net/11449/22161
dc.identifier10.1007/s10884-012-9239-4
dc.identifierWOS:000303885800001
dc.description.abstractIn this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. Moreover its regularization provide a singular perturbation problem with attracting critical manifold. We also state a result about the synchronizationwhich occurs in the regularization of the fold-fold case. We restrict ourselves to the 3-dimensional systems (l = 3) and consider the case known as a T-singularity.
dc.languageeng
dc.publisherSpringer
dc.relationJournal of Dynamics and Differential Equations
dc.relation1.131
dc.relation1,208
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectRegularization
dc.subjectVector field
dc.subjectConstrained system
dc.subjectSingular perturbation
dc.subjectNon-smooth vector field
dc.subjectSliding vector field
dc.subjectSynchronization
dc.titleSynchronization and Non-Smooth Dynamical Systems
dc.typeArtículos de revistas


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