On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

dc.contributorUniv Autonoma Barcelona
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade Federal de Goiás (UFG)
dc.date.accessioned2014-05-20T15:31:03Z
dc.date.accessioned2022-10-05T17:02:43Z
dc.date.available2014-05-20T15:31:03Z
dc.date.available2022-10-05T17:02:43Z
dc.date.created2014-05-20T15:31:03Z
dc.date.issued2011-12-01
dc.identifierMathematics and Computers In Simulation. Amsterdam: Elsevier B.V., v. 82, n. 4, p. 533-539, 2011.
dc.identifier0378-4754
dc.identifierhttp://hdl.handle.net/11449/40298
dc.identifier10.1016/j.matcom.2011.08.006
dc.identifierWOS:000299852400001
dc.identifier6682867760717445
dc.identifier0000-0003-2037-8417
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3911299
dc.description.abstractWe study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationMathematics and Computers In Simulation
dc.relation1.476
dc.relation0,613
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectLimit cycles
dc.subjectAveraging theory
dc.subjectPiecewise linear systems with two zones
dc.titleOn the limit cycles of a class of piecewise linear differential systems in R-4 with two zones
dc.typeArtigo


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