Limit cycles on piecewise smooth vector fields with coupled rigid centers

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a...

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Autores: Carvalho, Tiago, Gonçalves, Luiz Fernando, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:257086
Acceso en línea:https://ddd.uab.cat/record/257086
https://dx.doi.org/urn:doi:10.1142/S0218127421502242
Access Level:acceso abierto
Palabra clave:Piecewise smooth vector field
Rigid centers
Limit cycle
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spelling Limit cycles on piecewise smooth vector fields with coupled rigid centersCarvalho, TiagoGonçalves, Luiz FernandoLlibre, Jaume|||0000-0002-9511-5999Piecewise smooth vector fieldRigid centersLimit cycleWe provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/257086https://dx.doi.org/urn:doi:10.1142/S0218127421502242reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open 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:2570862026-06-06T12:50:31Z
dc.title.none.fl_str_mv Limit cycles on piecewise smooth vector fields with coupled rigid centers
title Limit cycles on piecewise smooth vector fields with coupled rigid centers
spellingShingle Limit cycles on piecewise smooth vector fields with coupled rigid centers
Carvalho, Tiago
Piecewise smooth vector field
Rigid centers
Limit cycle
title_short Limit cycles on piecewise smooth vector fields with coupled rigid centers
title_full Limit cycles on piecewise smooth vector fields with coupled rigid centers
title_fullStr Limit cycles on piecewise smooth vector fields with coupled rigid centers
title_full_unstemmed Limit cycles on piecewise smooth vector fields with coupled rigid centers
title_sort Limit cycles on piecewise smooth vector fields with coupled rigid centers
dc.creator.none.fl_str_mv Carvalho, Tiago
Gonçalves, Luiz Fernando
Llibre, Jaume|||0000-0002-9511-5999
author Carvalho, Tiago
author_facet Carvalho, Tiago
Gonçalves, Luiz Fernando
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Gonçalves, Luiz Fernando
Llibre, Jaume|||0000-0002-9511-5999
author2_role author
author
dc.subject.none.fl_str_mv Piecewise smooth vector field
Rigid centers
Limit cycle
topic Piecewise smooth vector field
Rigid centers
Limit cycle
description We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
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/257086
https://dx.doi.org/urn:doi:10.1142/S0218127421502242
url https://ddd.uab.cat/record/257086
https://dx.doi.org/urn:doi:10.1142/S0218127421502242
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
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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