On the birth of limit cycles for non-smooth dynamical systems

The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles...

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Authors: Llibre, Jaume|||0000-0002-9511-5999, Novaes, Douglas D.|||0000-0002-9147-8442, Teixeira, Marco Antonio|||0000-0002-5386-9282
Format: article
Publication Date:2015
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:145361
Online Access:https://ddd.uab.cat/record/145361
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2014.08.011
Access Level:Open access
Keyword:Averaging theory
Discontinuous differential system
Periodic solutions
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spelling On the birth of limit cycles for non-smooth dynamical systemsLlibre, Jaume|||0000-0002-9511-5999Novaes, Douglas D.|||0000-0002-9147-8442Teixeira, Marco Antonio|||0000-0002-5386-9282Averaging theoryDiscontinuous differential systemPeriodic solutionsThe main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles of such systems. These result may represent new insights in averaging, in particular its relation with non smooth dynamical systems theory. An application is presented in careful detail. 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/145361https://dx.doi.org/urn:doi:10.1016/j.bulsci.2014.08.011reponame: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 2014/SGR-586European Commission https://doi.org/10.13039/501100000780 316338European Commission https://doi.org/10.13039/501100000780 318999open 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:1453612026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the birth of limit cycles for non-smooth dynamical systems
title On the birth of limit cycles for non-smooth dynamical systems
spellingShingle On the birth of limit cycles for non-smooth dynamical systems
Llibre, Jaume|||0000-0002-9511-5999
Averaging theory
Discontinuous differential system
Periodic solutions
title_short On the birth of limit cycles for non-smooth dynamical systems
title_full On the birth of limit cycles for non-smooth dynamical systems
title_fullStr On the birth of limit cycles for non-smooth dynamical systems
title_full_unstemmed On the birth of limit cycles for non-smooth dynamical systems
title_sort On the birth of limit cycles for non-smooth dynamical systems
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author_role author
author2 Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author2_role author
author
dc.subject.none.fl_str_mv Averaging theory
Discontinuous differential system
Periodic solutions
topic Averaging theory
Discontinuous differential system
Periodic solutions
description The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles of such systems. These result may represent new insights in averaging, in particular its relation with non smooth dynamical systems theory. An application is presented in careful detail.
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/145361
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2014.08.011
url https://ddd.uab.cat/record/145361
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2014.08.011
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 2014/SGR-586
European Commission https://doi.org/10.13039/501100000780 316338
European Commission https://doi.org/10.13039/501100000780 318999
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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