Limit cycles for two classes of control piecewise linear differential systems

We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or d...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Oliveira, Regilene|||0000-0002-9628-5180, Rodrigues, Camila A. B.
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221379
Acceso en línea:https://ddd.uab.cat/record/221379
https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7
Access Level:acceso abierto
Palabra clave:Limit cycles
Discontinuous piecewise linear differential system
Bifurcation
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spelling Limit cycles for two classes of control piecewise linear differential systemsLlibre, Jaume|||0000-0002-9511-5999Oliveira, Regilene|||0000-0002-9628-5180Rodrigues, Camila A. B.Limit cyclesDiscontinuous piecewise linear differential systemBifurcationWe study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or discontinuous piecewise linear function, A0 is a 2n×2n matrix with only purely imaginary eigenvalues, ε is a small parameter, A is an arbitrary 2n×2n matrix, and b is an arbitrary vector of Rn. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/221379https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio 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-568European Commission https://doi.org/10.13039/501100000780 318999European Commission https://doi.org/10.13039/501100000780 316338open 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:2213792026-06-06T12:50:31Z
dc.title.none.fl_str_mv Limit cycles for two classes of control piecewise linear differential systems
title Limit cycles for two classes of control piecewise linear differential systems
spellingShingle Limit cycles for two classes of control piecewise linear differential systems
Llibre, Jaume|||0000-0002-9511-5999
Limit cycles
Discontinuous piecewise linear differential system
Bifurcation
title_short Limit cycles for two classes of control piecewise linear differential systems
title_full Limit cycles for two classes of control piecewise linear differential systems
title_fullStr Limit cycles for two classes of control piecewise linear differential systems
title_full_unstemmed Limit cycles for two classes of control piecewise linear differential systems
title_sort Limit cycles for two classes of control piecewise linear differential systems
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Oliveira, Regilene|||0000-0002-9628-5180
Rodrigues, Camila A. B.
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Oliveira, Regilene|||0000-0002-9628-5180
Rodrigues, Camila A. B.
author_role author
author2 Oliveira, Regilene|||0000-0002-9628-5180
Rodrigues, Camila A. B.
author2_role author
author
dc.subject.none.fl_str_mv Limit cycles
Discontinuous piecewise linear differential system
Bifurcation
topic Limit cycles
Discontinuous piecewise linear differential system
Bifurcation
description We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or discontinuous piecewise linear function, A0 is a 2n×2n matrix with only purely imaginary eigenvalues, ε is a small parameter, A is an arbitrary 2n×2n matrix, and b is an arbitrary vector of Rn.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
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/221379
https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7
url https://ddd.uab.cat/record/221379
https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7
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
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
European Commission https://doi.org/10.13039/501100000780 318999
European Commission https://doi.org/10.13039/501100000780 316338
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
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