Algebraic limit cycles in piecewise linear differential systems

This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. We al...

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Autores: Buzzi, Claudio.|||0000-0003-2037-8417, Gasull, Armengol|||0000-0002-1719-8231, Torregrosa, Joan|||0000-0002-2753-1827
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:199362
Acceso en línea:https://ddd.uab.cat/record/199362
https://dx.doi.org/urn:doi:10.1142/S0218127418500396
Access Level:acceso abierto
Palabra clave:Algebraic limit cycles
Hyperbolic and double limit cycle
Non-smooth differential system
Piecewise linear systems
Saddle-node bifurcation
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spelling Algebraic limit cycles in piecewise linear differential systemsBuzzi, Claudio.|||0000-0003-2037-8417Gasull, Armengol|||0000-0002-1719-8231Torregrosa, Joan|||0000-0002-2753-1827Algebraic limit cyclesHyperbolic and double limit cycleNon-smooth differential systemPiecewise linear systemsSaddle-node bifurcationThis paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed. 22018-01-0120182018-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/199362https://dx.doi.org/urn:doi:10.1142/S0218127418500396reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengEuropean Commission https://doi.org/10.13039/501100000780 318999European Commission https://doi.org/10.13039/501100000780 316338Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617open 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:1993622026-06-06T12:50:31Z
dc.title.none.fl_str_mv Algebraic limit cycles in piecewise linear differential systems
title Algebraic limit cycles in piecewise linear differential systems
spellingShingle Algebraic limit cycles in piecewise linear differential systems
Buzzi, Claudio.|||0000-0003-2037-8417
Algebraic limit cycles
Hyperbolic and double limit cycle
Non-smooth differential system
Piecewise linear systems
Saddle-node bifurcation
title_short Algebraic limit cycles in piecewise linear differential systems
title_full Algebraic limit cycles in piecewise linear differential systems
title_fullStr Algebraic limit cycles in piecewise linear differential systems
title_full_unstemmed Algebraic limit cycles in piecewise linear differential systems
title_sort Algebraic limit cycles in piecewise linear differential systems
dc.creator.none.fl_str_mv Buzzi, Claudio.|||0000-0003-2037-8417
Gasull, Armengol|||0000-0002-1719-8231
Torregrosa, Joan|||0000-0002-2753-1827
author Buzzi, Claudio.|||0000-0003-2037-8417
author_facet Buzzi, Claudio.|||0000-0003-2037-8417
Gasull, Armengol|||0000-0002-1719-8231
Torregrosa, Joan|||0000-0002-2753-1827
author_role author
author2 Gasull, Armengol|||0000-0002-1719-8231
Torregrosa, Joan|||0000-0002-2753-1827
author2_role author
author
dc.subject.none.fl_str_mv Algebraic limit cycles
Hyperbolic and double limit cycle
Non-smooth differential system
Piecewise linear systems
Saddle-node bifurcation
topic Algebraic limit cycles
Hyperbolic and double limit cycle
Non-smooth differential system
Piecewise linear systems
Saddle-node bifurcation
description This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.
publishDate 2018
dc.date.none.fl_str_mv 2
2018-01-01
2018
2018-01-01
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/199362
https://dx.doi.org/urn:doi:10.1142/S0218127418500396
url https://ddd.uab.cat/record/199362
https://dx.doi.org/urn:doi:10.1142/S0218127418500396
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission https://doi.org/10.13039/501100000780 318999
European Commission https://doi.org/10.13039/501100000780 316338
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
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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