Dynamics of a differential system using invariant regions

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
Data de Publicação: 2007
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1533
Resumo: The longtime behaviour of a two dimensional system of ordinary differential equations with singularities is studied using conveniently defined positively invariant sets and auxiliary functions. The approach uses only elementary techniques of phase plane analysis and provides a good geometric insight into the dynamical behaviour of the system. It provides dynamical information analogous to what is usually obtained via centre manifold techniques but does not require the flow to be defined at the limit point.
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spelling Dynamics of a differential system using invariant regionsOrdinary diferential equationsAsymptotic behaviour of solutionsInvariant regionsThe longtime behaviour of a two dimensional system of ordinary differential equations with singularities is studied using conveniently defined positively invariant sets and auxiliary functions. The approach uses only elementary techniques of phase plane analysis and provides a good geometric insight into the dynamical behaviour of the system. It provides dynamical information analogous to what is usually obtained via centre manifold techniques but does not require the flow to be defined at the limit point.Partially supported by Fundação para a Ciência e a TecnologiaThe International Commission on Mathematical InstructionRepositório AbertoCosta, Fernando Pestana da2010-07-15T13:08:36Z20072007-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1533engCosta, Fernando Pestana da - Dynamics of a differential system using invariant regions. "L'Enseignement Mathematique" [Em linha]. ISSN 0425-0818. Vol. 53, nº 2 (2007), p. 3-140425-0818info: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:RCAAP2023-11-16T15:14:14Zoai:repositorioaberto.uab.pt:10400.2/1533Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:20.926693Repositório 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 Dynamics of a differential system using invariant regions
title Dynamics of a differential system using invariant regions
spellingShingle Dynamics of a differential system using invariant regions
Costa, Fernando Pestana da
Ordinary diferential equations
Asymptotic behaviour of solutions
Invariant regions
title_short Dynamics of a differential system using invariant regions
title_full Dynamics of a differential system using invariant regions
title_fullStr Dynamics of a differential system using invariant regions
title_full_unstemmed Dynamics of a differential system using invariant regions
title_sort Dynamics of a differential system using invariant regions
author Costa, Fernando Pestana da
author_facet Costa, Fernando Pestana da
author_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Costa, Fernando Pestana da
dc.subject.por.fl_str_mv Ordinary diferential equations
Asymptotic behaviour of solutions
Invariant regions
topic Ordinary diferential equations
Asymptotic behaviour of solutions
Invariant regions
description The longtime behaviour of a two dimensional system of ordinary differential equations with singularities is studied using conveniently defined positively invariant sets and auxiliary functions. The approach uses only elementary techniques of phase plane analysis and provides a good geometric insight into the dynamical behaviour of the system. It provides dynamical information analogous to what is usually obtained via centre manifold techniques but does not require the flow to be defined at the limit point.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01T00:00:00Z
2010-07-15T13:08:36Z
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/10400.2/1533
url http://hdl.handle.net/10400.2/1533
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Costa, Fernando Pestana da - Dynamics of a differential system using invariant regions. "L'Enseignement Mathematique" [Em linha]. ISSN 0425-0818. Vol. 53, nº 2 (2007), p. 3-14
0425-0818
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 The International Commission on Mathematical Instruction
publisher.none.fl_str_mv The International Commission on Mathematical Instruction
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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