Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line

This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existen...

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Detalles Bibliográficos
Autores: Li, Shimin|||0000-0003-1695-0097, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:204383
Acceso en línea:https://ddd.uab.cat/record/204383
https://dx.doi.org/urn:doi:10.1016/j.jde.2018.12.024
Access Level:acceso abierto
Palabra clave:Phase portraits
Piecewise linear differential system
Limit cycle
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spelling Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight lineLi, Shimin|||0000-0003-1695-0097Llibre, Jaume|||0000-0002-9511-5999Phase portraitsPiecewise linear differential systemLimit cycleThis paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/204383https://dx.doi.org/urn:doi:10.1016/j.jde.2018.12.024reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445open 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:2043832026-06-06T12:50:31Z
dc.title.none.fl_str_mv Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
title Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
spellingShingle Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
Li, Shimin|||0000-0003-1695-0097
Phase portraits
Piecewise linear differential system
Limit cycle
title_short Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
title_full Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
title_fullStr Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
title_full_unstemmed Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
title_sort Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
dc.creator.none.fl_str_mv Li, Shimin|||0000-0003-1695-0097
Llibre, Jaume|||0000-0002-9511-5999
author Li, Shimin|||0000-0003-1695-0097
author_facet Li, Shimin|||0000-0003-1695-0097
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
author2_role author
dc.subject.none.fl_str_mv Phase portraits
Piecewise linear differential system
Limit cycle
topic Phase portraits
Piecewise linear differential system
Limit cycle
description This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
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/204383
https://dx.doi.org/urn:doi:10.1016/j.jde.2018.12.024
url https://ddd.uab.cat/record/204383
https://dx.doi.org/urn:doi:10.1016/j.jde.2018.12.024
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445
dc.rights.none.fl_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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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
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collection Dipòsit Digital de Documents de la UAB
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