Limit cycles for some families of smooth and non-smooth planar systems

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Autonoma Barcelona
dc.contributorCtr Recerca Matemat
dc.date.accessioned2021-06-25T12:41:41Z
dc.date.accessioned2022-12-19T23:01:29Z
dc.date.available2021-06-25T12:41:41Z
dc.date.available2022-12-19T23:01:29Z
dc.date.created2021-06-25T12:41:41Z
dc.date.issued2021-06-01
dc.identifierNonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-elsevier Science Ltd, v. 207, 13 p., 2021.
dc.identifier0362-546X
dc.identifierhttp://hdl.handle.net/11449/210166
dc.identifier10.1016/j.na.2021.112298
dc.identifierWOS:000634580300011
dc.identifier6682867760717445
dc.identifier0000-0003-2037-8417
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5390763
dc.description.abstractWe apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. Our results can be applied to models where the smoothness is lost on the set Sigma = {xy = 0}. They also motivate to consider a variant of Hilbert 16th problem, where the goal is to bound the number of limit cycles in terms of the number of monomials of a family of polynomial vector fields, instead of doing this in terms of their degrees. (C) 2021 Elsevier Ltd. All rights reserved.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationNonlinear Analysis-theory Methods & Applications
dc.sourceWeb of Science
dc.subjectLimit cycles
dc.subjectFirst order averaging
dc.subjectExtended complete Chebyshev systems
dc.subjectHilbert numbers
dc.titleLimit cycles for some families of smooth and non-smooth planar systems
dc.typeArtículos de revistas


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