A symbolic approach to nonlinearly perturbed heat equation

Detalhes bibliográficos
Autor(a) principal: Ramos, Carlos
Data de Publicação: 2016
Outros Autores: Santos, Ana Isabel, Vinagre, 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/10174/19624
https://doi.org/10.12732/ijpam.v107i4.3
Resumo: We consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps. The system, depending on the parameters, presents very complex behaviour. We introduce a symbolic framework to analyze the system and resume its most important features.
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spelling A symbolic approach to nonlinearly perturbed heat equationheat equationchaotic dynamicssymbolic dynamicsiteration theorytopological entropycomplex systemsWe consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps. The system, depending on the parameters, presents very complex behaviour. We introduce a symbolic framework to analyze the system and resume its most important features.International Journal of Pure and Applied Mathematics2017-01-09T16:17:35Z2017-01-092016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/19624http://hdl.handle.net/10174/19624https://doi.org/10.12732/ijpam.v107i4.3engC. C. Ramos, A. I. Santos and S. Vinagre, A symbolic approach to nonlinearly perturbed heat equation, Int. J. of Pure and Applied Math., 107, (2016), n.º 4, 821-843.821-8431311-8080107International Journal of Pure and Applied Mathematics4MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científicaccr@uevora.ptaims@uevora.ptsmv@uevora.ptA symbolic approach to nonlinearly perturbed heat equation721Ramos, CarlosSantos, Ana IsabelVinagre, Sandrainfo: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:RCAAP2024-01-03T19:07:56Zoai:dspace.uevora.pt:10174/19624Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:10:49.669274Repositório 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 A symbolic approach to nonlinearly perturbed heat equation
title A symbolic approach to nonlinearly perturbed heat equation
spellingShingle A symbolic approach to nonlinearly perturbed heat equation
Ramos, Carlos
heat equation
chaotic dynamics
symbolic dynamics
iteration theory
topological entropy
complex systems
title_short A symbolic approach to nonlinearly perturbed heat equation
title_full A symbolic approach to nonlinearly perturbed heat equation
title_fullStr A symbolic approach to nonlinearly perturbed heat equation
title_full_unstemmed A symbolic approach to nonlinearly perturbed heat equation
title_sort A symbolic approach to nonlinearly perturbed heat equation
author Ramos, Carlos
author_facet Ramos, Carlos
Santos, Ana Isabel
Vinagre, Sandra
author_role author
author2 Santos, Ana Isabel
Vinagre, Sandra
author2_role author
author
dc.contributor.author.fl_str_mv Ramos, Carlos
Santos, Ana Isabel
Vinagre, Sandra
dc.subject.por.fl_str_mv heat equation
chaotic dynamics
symbolic dynamics
iteration theory
topological entropy
complex systems
topic heat equation
chaotic dynamics
symbolic dynamics
iteration theory
topological entropy
complex systems
description We consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps. The system, depending on the parameters, presents very complex behaviour. We introduce a symbolic framework to analyze the system and resume its most important features.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2017-01-09T16:17:35Z
2017-01-09
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/10174/19624
http://hdl.handle.net/10174/19624
https://doi.org/10.12732/ijpam.v107i4.3
url http://hdl.handle.net/10174/19624
https://doi.org/10.12732/ijpam.v107i4.3
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv C. C. Ramos, A. I. Santos and S. Vinagre, A symbolic approach to nonlinearly perturbed heat equation, Int. J. of Pure and Applied Math., 107, (2016), n.º 4, 821-843.
821-843
1311-8080
107
International Journal of Pure and Applied Mathematics
4
MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
ccr@uevora.pt
aims@uevora.pt
smv@uevora.pt
A symbolic approach to nonlinearly perturbed heat equation
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv International Journal of Pure and Applied Mathematics
publisher.none.fl_str_mv International Journal of Pure and Applied Mathematics
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
_version_ 1799136590105149440

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