A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles

We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will obtain the...

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Detalles Bibliográficos
Autores: Grau Montaña, Maite, Szántó, Iván
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/466318
Acceso en línea:https://doi.org/10.1007/s12346-024-01106-9
https://hdl.handle.net/10459.1/466318
Access Level:acceso abierto
Palabra clave:Polynomial differential system
Small amplitude limit cycles
Invariant straight lines
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spelling A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles Grau Montaña, Maite Szántó, Iván Polynomial differential system Small amplitude limit cycles Invariant straight lines We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will obtain the necessary and sufficient conditions for the critical point inside the square to be a center. The first author is partially supported by the Agencia Estatal de Investigación grant number PID2020-113758GB-I00 and the AGAUR grant number 2021SGR-01618. Springer https://doi.org/10.1007/s12346-024-01106-9 https://hdl.handle.net/10459.1/466318
title A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
spellingShingle A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
Grau Montaña, Maite
Polynomial differential system
Small amplitude limit cycles
Invariant straight lines
title_short A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
title_full A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
title_fullStr A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
title_full_unstemmed A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
title_sort A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
author Grau Montaña, Maite
author_facet Grau Montaña, Maite
Szántó, Iván
author_role author
author2 Szántó, Iván
author2_role author
topic Polynomial differential system
Small amplitude limit cycles
Invariant straight lines
topic_facet Polynomial differential system
Small amplitude limit cycles
Invariant straight lines
description We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will obtain the necessary and sufficient conditions for the critical point inside the square to be a center.
publishDate 2024
format article
status_str publishedVersion
url https://doi.org/10.1007/s12346-024-01106-9
https://hdl.handle.net/10459.1/466318
eu_rights_str_mv openAccess
publisher Springer
institution Universitat de Lleida (UdL)
collection Repositori Obert UdL
reponame_str Repositori Obert UdL
instname_str Universitat de Lleida (UdL)
_version_ 1878432193708032000
publishDateSort 2024
author_browse Grau Montaña, Maite
Szántó, Iván
publisherStr Springer
score 6.924472

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