Limit cycles and chaos in planar hybrid systems

Bibliographic Details
Main Author: Llibre, Jaume
Publication Date: 2025
Other Authors: Santana, Paulo [UNESP]
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1016/j.cnsns.2024.108382
https://hdl.handle.net/11449/300219
Summary: In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.
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spelling Limit cycles and chaos in planar hybrid systemsChaosHybrid dynamical systemsLimit cyclesChaotic dynamicsHybrid differential systemsLimit-cycleIn this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Agència de Gestió d'Ajuts Universitaris i de RecercaAgencia Estatal de InvestigaciónDepartament de Matemàtiques Facultat de Ciències Universitat Autònoma de Barcelona, BellaterraIBILCE-UNESP, CEP 15054-000, S. J. Rio PretoIBILCE-UNESP, CEP 15054-000, S. J. Rio PretoFAPESP: 2019/10269-3FAPESP: 2021/01799-9Agència de Gestió d'Ajuts Universitaris i de Recerca: 2021SGR00113FAPESP: 2022/14353-1Agencia Estatal de Investigación: PID2022-136613NB-100Universitat Autònoma de BarcelonaUniversidade Estadual Paulista (UNESP)Llibre, JaumeSantana, Paulo [UNESP]2025-04-29T18:48:57Z2025-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.cnsns.2024.108382Communications in Nonlinear Science and Numerical Simulation, v. 140.1007-5704https://hdl.handle.net/11449/30021910.1016/j.cnsns.2024.1083822-s2.0-85205914861Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Nonlinear Science and Numerical Simulationinfo:eu-repo/semantics/openAccess2025-04-30T13:41:38Zoai:repositorio.unesp.br:11449/300219Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-30T13:41:38Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Limit cycles and chaos in planar hybrid systems
title Limit cycles and chaos in planar hybrid systems
spellingShingle Limit cycles and chaos in planar hybrid systems
Llibre, Jaume
Chaos
Hybrid dynamical systems
Limit cycles
Chaotic dynamics
Hybrid differential systems
Limit-cycle
title_short Limit cycles and chaos in planar hybrid systems
title_full Limit cycles and chaos in planar hybrid systems
title_fullStr Limit cycles and chaos in planar hybrid systems
title_full_unstemmed Limit cycles and chaos in planar hybrid systems
title_sort Limit cycles and chaos in planar hybrid systems
author Llibre, Jaume
author_facet Llibre, Jaume
Santana, Paulo [UNESP]
author_role author
author2 Santana, Paulo [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universitat Autònoma de Barcelona
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Llibre, Jaume
Santana, Paulo [UNESP]
dc.subject.por.fl_str_mv Chaos
Hybrid dynamical systems
Limit cycles
Chaotic dynamics
Hybrid differential systems
Limit-cycle
topic Chaos
Hybrid dynamical systems
Limit cycles
Chaotic dynamics
Hybrid differential systems
Limit-cycle
description In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.
publishDate 2025
dc.date.none.fl_str_mv 2025-04-29T18:48:57Z
2025-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.cnsns.2024.108382
Communications in Nonlinear Science and Numerical Simulation, v. 140.
1007-5704
https://hdl.handle.net/11449/300219
10.1016/j.cnsns.2024.108382
2-s2.0-85205914861
url http://dx.doi.org/10.1016/j.cnsns.2024.108382
https://hdl.handle.net/11449/300219
identifier_str_mv Communications in Nonlinear Science and Numerical Simulation, v. 140.
1007-5704
10.1016/j.cnsns.2024.108382
2-s2.0-85205914861
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Communications in Nonlinear Science and Numerical Simulation
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1834482504217657344

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