Growth of number of periodic orbits of one family of skew product maps

Detalhes bibliográficos
Autor(a) principal: Esteves, Salete
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10198/16146
Resumo: In this article we introduce a one-parameter family of skew product (Gt)t ∈ [−ε, ε] maps exhibiting a heterodimensional cycle such that the number of isolated periodic orbits inside it has not super-exponential growth. The dynamics in the central direction of the maps Gt is described by a one-parameter family of system of iterated functions.
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spelling Growth of number of periodic orbits of one family of skew product mapsSkew-product mapsArtin-Mazur mapsHeterodimensional cycleHomoclinic classIndex of a saddleIn this article we introduce a one-parameter family of skew product (Gt)t ∈ [−ε, ε] maps exhibiting a heterodimensional cycle such that the number of isolated periodic orbits inside it has not super-exponential growth. The dynamics in the central direction of the maps Gt is described by a one-parameter family of system of iterated functions.This work is part of the PhD thesis of the author, under the supervision of Lorenzo Diaz and Jorge Rocha. The author thanks Professors Lorenzo Diaz and Jorge Rocha, for having proposed this topic, by the stimulating conversations, the guidance and useful suggestions. This research was funded by by the Portuguese government through the FCT (Fundação para a Ciência e a Tecnologia) under the project PTDC/MAT/099493/2008. The author was supported by the grants SFRH/BD/27674/2006 and SFRH/BD/49735/2009 of FCT.Biblioteca Digital do IPBEsteves, Salete2018-03-02T16:19:41Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10198/16146engEsteves, Salete (2018). Growth of number of periodic orbits of one family of skew product maps. Dynamical Systems. ISSN 1468-9367. 33:1, p. 1-131468-936710.1080/14689367.2017.1290051info: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:RCAAP2023-11-21T10:37:06Zoai:bibliotecadigital.ipb.pt:10198/16146Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:05:22.286153Repositório 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 Growth of number of periodic orbits of one family of skew product maps
title Growth of number of periodic orbits of one family of skew product maps
spellingShingle Growth of number of periodic orbits of one family of skew product maps
Esteves, Salete
Skew-product maps
Artin-Mazur maps
Heterodimensional cycle
Homoclinic class
Index of a saddle
title_short Growth of number of periodic orbits of one family of skew product maps
title_full Growth of number of periodic orbits of one family of skew product maps
title_fullStr Growth of number of periodic orbits of one family of skew product maps
title_full_unstemmed Growth of number of periodic orbits of one family of skew product maps
title_sort Growth of number of periodic orbits of one family of skew product maps
author Esteves, Salete
author_facet Esteves, Salete
author_role author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Esteves, Salete
dc.subject.por.fl_str_mv Skew-product maps
Artin-Mazur maps
Heterodimensional cycle
Homoclinic class
Index of a saddle
topic Skew-product maps
Artin-Mazur maps
Heterodimensional cycle
Homoclinic class
Index of a saddle
description In this article we introduce a one-parameter family of skew product (Gt)t ∈ [−ε, ε] maps exhibiting a heterodimensional cycle such that the number of isolated periodic orbits inside it has not super-exponential growth. The dynamics in the central direction of the maps Gt is described by a one-parameter family of system of iterated functions.
publishDate 2018
dc.date.none.fl_str_mv 2018-03-02T16:19:41Z
2018
2018-01-01T00:00:00Z
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/10198/16146
url http://hdl.handle.net/10198/16146
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Esteves, Salete (2018). Growth of number of periodic orbits of one family of skew product maps. Dynamical Systems. ISSN 1468-9367. 33:1, p. 1-13
1468-9367
10.1080/14689367.2017.1290051
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.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
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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
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