On the Stability of Hybrid Polycycles

Bibliographic Details
Main Author: Santana, Paulo [UNESP]
Publication Date: 2025
Other Authors: Serantola, Leonardo [UNESP]
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1007/s12346-025-01242-w
https://hdl.handle.net/11449/303771
Summary: In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may have hyperbolic saddles, tangential singularities and jump singularities.
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spelling On the Stability of Hybrid PolycyclesGraphics of a vector fieldHybrid dynamical systemsPolycyclesSingular cyclesIn this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may have hyperbolic saddles, tangential singularities and jump singularities.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)IBILCE-UNESP, S. J. Rio PretoIBILCE-UNESP, S. J. Rio PretoFAPESP: 2019/10269-3CAPES: 88887.475751/2020-00Universidade Estadual Paulista (UNESP)Santana, Paulo [UNESP]Serantola, Leonardo [UNESP]2025-04-29T19:30:40Z2025-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s12346-025-01242-wQualitative Theory of Dynamical Systems, v. 24, n. 2, 2025.1662-35921575-5460https://hdl.handle.net/11449/30377110.1007/s12346-025-01242-w2-s2.0-85218700822Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQualitative Theory of Dynamical Systemsinfo:eu-repo/semantics/openAccess2025-04-30T14:24:42Zoai:repositorio.unesp.br:11449/303771Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-30T14:24:42Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the Stability of Hybrid Polycycles
title On the Stability of Hybrid Polycycles
spellingShingle On the Stability of Hybrid Polycycles
Santana, Paulo [UNESP]
Graphics of a vector field
Hybrid dynamical systems
Polycycles
Singular cycles
title_short On the Stability of Hybrid Polycycles
title_full On the Stability of Hybrid Polycycles
title_fullStr On the Stability of Hybrid Polycycles
title_full_unstemmed On the Stability of Hybrid Polycycles
title_sort On the Stability of Hybrid Polycycles
author Santana, Paulo [UNESP]
author_facet Santana, Paulo [UNESP]
Serantola, Leonardo [UNESP]
author_role author
author2 Serantola, Leonardo [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Santana, Paulo [UNESP]
Serantola, Leonardo [UNESP]
dc.subject.por.fl_str_mv Graphics of a vector field
Hybrid dynamical systems
Polycycles
Singular cycles
topic Graphics of a vector field
Hybrid dynamical systems
Polycycles
Singular cycles
description In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may have hyperbolic saddles, tangential singularities and jump singularities.
publishDate 2025
dc.date.none.fl_str_mv 2025-04-29T19:30:40Z
2025-04-01
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/10.1007/s12346-025-01242-w
Qualitative Theory of Dynamical Systems, v. 24, n. 2, 2025.
1662-3592
1575-5460
https://hdl.handle.net/11449/303771
10.1007/s12346-025-01242-w
2-s2.0-85218700822
url http://dx.doi.org/10.1007/s12346-025-01242-w
https://hdl.handle.net/11449/303771
identifier_str_mv Qualitative Theory of Dynamical Systems, v. 24, n. 2, 2025.
1662-3592
1575-5460
10.1007/s12346-025-01242-w
2-s2.0-85218700822
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Qualitative Theory of Dynamical Systems
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_ 1834482402132492288

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