Criteria for the nonexistence of periodic orbits in planar differential systems

In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.

Detalles Bibliográficos
Autores: Giné, Jaume, Llibre, Jaume
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/464512
Acceso en línea:https://doi.org/10.56415/basm.y2023.i1.p3
https://hdl.handle.net/10459.1/464512
Access Level:acceso abierto
Palabra clave:Periodic orbits
Bendixson
Dulac
Liénard equation
Angular velocity
Planar differential systems
id ES_2df0f2f2e8eef9d21251ed0bbc4b3c1e
oai_identifier_str oai:repositori.udl.cat:10459.1/464512
network_acronym_str ES
network_name_str España
repository_id_str
spelling Criteria for the nonexistence of periodic orbits in planar differential systemsGiné, JaumeLlibre, JaumePeriodic orbitsBendixsonDulacLiénard equationAngular velocityPlanar differential systemsIn this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.The first author is partially supported by the Agencia Estatal de Investigaci´on grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618. The second author is partially supported by Agencia Estatal de Investigaci´on grant PID2019-104658GB-I00, and the H2020 European Research Council grant MSCA-RISE-2017-777911.Institutul de Matematică şi Informatică "Vladimir Andrunachievici"2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.56415/basm.y2023.i1.p3https://hdl.handle.net/10459.1/464512reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104658GB-I00Reproducció del document publicat a https://doi.org/10.56415/basm.y2023.i1.p3Buleyinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023, núm. 1(101), p. 3-7cc-by-nc-sa (c) Jaume Giné, Jaume Llibre, 2023Attribution-NonCommercial-ShareAlike 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/oai:repositori.udl.cat:10459.1/4645122026-06-24T12:42:17Z
dc.title.none.fl_str_mv Criteria for the nonexistence of periodic orbits in planar differential systems
title Criteria for the nonexistence of periodic orbits in planar differential systems
spellingShingle Criteria for the nonexistence of periodic orbits in planar differential systems
Giné, Jaume
Periodic orbits
Bendixson
Dulac
Liénard equation
Angular velocity
Planar differential systems
title_short Criteria for the nonexistence of periodic orbits in planar differential systems
title_full Criteria for the nonexistence of periodic orbits in planar differential systems
title_fullStr Criteria for the nonexistence of periodic orbits in planar differential systems
title_full_unstemmed Criteria for the nonexistence of periodic orbits in planar differential systems
title_sort Criteria for the nonexistence of periodic orbits in planar differential systems
dc.creator.none.fl_str_mv Giné, Jaume
Llibre, Jaume
author Giné, Jaume
author_facet Giné, Jaume
Llibre, Jaume
author_role author
author2 Llibre, Jaume
author2_role author
dc.subject.none.fl_str_mv Periodic orbits
Bendixson
Dulac
Liénard equation
Angular velocity
Planar differential systems
topic Periodic orbits
Bendixson
Dulac
Liénard equation
Angular velocity
Planar differential systems
description In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.56415/basm.y2023.i1.p3
https://hdl.handle.net/10459.1/464512
url https://doi.org/10.56415/basm.y2023.i1.p3
https://hdl.handle.net/10459.1/464512
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104658GB-I00
Reproducció del document publicat a https://doi.org/10.56415/basm.y2023.i1.p3
Buleyinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023, núm. 1(101), p. 3-7
dc.rights.none.fl_str_mv cc-by-nc-sa (c) Jaume Giné, Jaume Llibre, 2023
Attribution-NonCommercial-ShareAlike 4.0 International
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
rights_invalid_str_mv cc-by-nc-sa (c) Jaume Giné, Jaume Llibre, 2023
Attribution-NonCommercial-ShareAlike 4.0 International
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
publisher.none.fl_str_mv Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869405364960624640
score 15.811543

Similares en LA Referencia