dc.contributor.author
Llibre, Jaume
dc.contributor.author
Teixeira, Marco Antonio
dc.identifier
https://ddd.uab.cat/record/199361
dc.identifier
urn:10.1007/s11071-017-3866-6
dc.identifier
urn:oai:ddd.uab.cat:199361
dc.identifier
urn:gsduab:4589
dc.identifier
urn:articleid:0924090Xv91n1p249
dc.identifier
urn:scopus_id:85031503162
dc.identifier
urn:wos_id:000418838900015
dc.identifier
urn:oai:egreta.uab.cat:publications/eaa2ac1c-0b2d-4a6a-bd78-8970b7689e49
dc.description.abstract
In this article, we study the continuous and discontinuous planar piecewise differential systems formed only by linear centers separated by one or two parallel straight lines. When these piecewise differential systems are continuous, they have no limit cycles. Also if they are discontinuous separated by a unique straight line, they do not have limit cycles. But when the piecewise differential systems are discontinuous separated two parallel straight lines, we show that they can have at most one limit cycle, and that there exist such systems with one limit cycle.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2016-77278-P
dc.relation
Ministerio de Economía y Competitividad MTM2013-40998-P
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
dc.relation
Nonlinear dynamics ; Vol. 91, issue 1 (Jan. 2018), p. 249-255
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Linear centers
dc.subject
Continuous piecewise linear differential systems
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Discontinuous piecewise differential systems
dc.subject
First integrals
dc.title
Piecewise linear differential systems with only centers can create limit cycles?
