Local stability conditions for a n-dimensional periodic mapping

Detalhes bibliográficos
Autor(a) principal: Luís, Rafael
Data de Publicação: 2023
Outros Autores: Mendonça, Sandra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/5439
Resumo: In this paper we determine the necessary and sufficient conditions for asymptotically stability of periodic cycles for periodic difference equations by using the Jury’s conditions. Such conditions are obtained using the information of the Jacobian matrices of the individual maps, avoiding thus the computation of the Jacobian matrix of the composition operator, which in higher dimension can be an a very difficult task. We illustrate our ideas by using models in population dynamics and in economics game theory.
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spelling Local stability conditions for a n-dimensional periodic mappingPeriodic difference equationsAsymptotic stabilityPeriodic solutionsApplicationsIn this paper we determine the necessary and sufficient conditions for asymptotically stability of periodic cycles for periodic difference equations by using the Jury’s conditions. Such conditions are obtained using the information of the Jacobian matrices of the individual maps, avoiding thus the computation of the Jacobian matrix of the composition operator, which in higher dimension can be an a very difficult task. We illustrate our ideas by using models in population dynamics and in economics game theory.ElsevierDigitUMaLuís, RafaelMendonça, Sandra2023-12-19T14:00:51Z20232023-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/5439engLuís, R., & Mendonça, S. (2023). Local stability conditions for a n-dimensional periodic mapping. Mathematics and Computers in Simulation.10.1016/j.matcom.2023.11.023info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-24T03:32:04Zoai:digituma.uma.pt:10400.13/5439Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:55:57.067353Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Local stability conditions for a n-dimensional periodic mapping
title Local stability conditions for a n-dimensional periodic mapping
spellingShingle Local stability conditions for a n-dimensional periodic mapping
Luís, Rafael
Periodic difference equations
Asymptotic stability
Periodic solutions
Applications
title_short Local stability conditions for a n-dimensional periodic mapping
title_full Local stability conditions for a n-dimensional periodic mapping
title_fullStr Local stability conditions for a n-dimensional periodic mapping
title_full_unstemmed Local stability conditions for a n-dimensional periodic mapping
title_sort Local stability conditions for a n-dimensional periodic mapping
author Luís, Rafael
author_facet Luís, Rafael
Mendonça, Sandra
author_role author
author2 Mendonça, Sandra
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Luís, Rafael
Mendonça, Sandra
dc.subject.por.fl_str_mv Periodic difference equations
Asymptotic stability
Periodic solutions
Applications
topic Periodic difference equations
Asymptotic stability
Periodic solutions
Applications
description In this paper we determine the necessary and sufficient conditions for asymptotically stability of periodic cycles for periodic difference equations by using the Jury’s conditions. Such conditions are obtained using the information of the Jacobian matrices of the individual maps, avoiding thus the computation of the Jacobian matrix of the composition operator, which in higher dimension can be an a very difficult task. We illustrate our ideas by using models in population dynamics and in economics game theory.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-19T14:00:51Z
2023
2023-01-01T00:00:00Z
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://hdl.handle.net/10400.13/5439
url http://hdl.handle.net/10400.13/5439
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Luís, R., & Mendonça, S. (2023). Local stability conditions for a n-dimensional periodic mapping. Mathematics and Computers in Simulation.
10.1016/j.matcom.2023.11.023
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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