Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations

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 o...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Teixeira, Marco Antonio|||0000-0002-5386-9282
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:145367
Acceso en línea:https://ddd.uab.cat/record/145367
https://dx.doi.org/urn:doi:10.1007/s00033-013-0393-2
Access Level:acceso abierto
Palabra clave:Averaging theory
Liénard equation
Limit cycles
Piecewise differential equation
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spelling Limit cycles for m-piecewise discontinuous polynomial Liénard differential equationsLlibre, Jaume|||0000-0002-9511-5999Teixeira, Marco Antonio|||0000-0002-5386-9282Averaging theoryLiénard equationLimit cyclesPiecewise differential equationWe 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. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/145367https://dx.doi.org/urn:doi:10.1007/s00033-013-0393-2reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-0410open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1453672026-06-06T12:50:31Z
dc.title.none.fl_str_mv Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
title Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
spellingShingle Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
Llibre, Jaume|||0000-0002-9511-5999
Averaging theory
Liénard equation
Limit cycles
Piecewise differential equation
title_short Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
title_full Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
title_fullStr Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
title_full_unstemmed Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
title_sort Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Teixeira, Marco Antonio|||0000-0002-5386-9282
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Teixeira, Marco Antonio|||0000-0002-5386-9282
author_role author
author2 Teixeira, Marco Antonio|||0000-0002-5386-9282
author2_role author
dc.subject.none.fl_str_mv Averaging theory
Liénard equation
Limit cycles
Piecewise differential equation
topic Averaging theory
Liénard equation
Limit cycles
Piecewise differential equation
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/145367
https://dx.doi.org/urn:doi:10.1007/s00033-013-0393-2
url https://ddd.uab.cat/record/145367
https://dx.doi.org/urn:doi:10.1007/s00033-013-0393-2
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-0410
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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