Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations

dc.contributor.author
Llibre, Jaume
dc.contributor.author
Teixeira, Marco Antonio
dc.date.issued
2015
dc.identifier
https://ddd.uab.cat/record/145367
dc.identifier
urn:10.1007/s00033-013-0393-2
dc.identifier
urn:oai:ddd.uab.cat:145367
dc.identifier
urn:gsduab:3260
dc.identifier
urn:scopus_id:84922338089
dc.identifier
urn:wos_id:000349030200003
dc.identifier
urn:oai:egreta.uab.cat:publications/88dca4e7-fb8a-425c-802e-1e7b1b34b418
dc.identifier
urn:articleid:14209039v66n1p51
dc.description.abstract
We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations x = y + sgn(gm (x, y))F (x), y = -x, where the zero set of the function sgn(gm (x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the origin of coordinates dividing the plane in sectors of angle 2π/m, and sgn(z) denotes the sign function.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
Ministerio de Ciencia e Innovación MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-0410
dc.relation
ZAMP. Journal of Applied Mathematics and Physics ; Vol. 66 Núm. 1 (2015), p. 51-66
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Averaging theory
dc.subject
Liénard equation
dc.subject
Limit cycles
dc.subject
Piecewise differential equation
dc.title
Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
dc.type
Article


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