Escape Dynamics for Interval maps
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2019 |
| Tipo de documento: | Artigo |
| Idioma: | por |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10174/27623 https://doi.org/10.3934/dcds.2019272 |
Resumo: | We study the structure of the escape orbits for a certain class of interval maps. This structure is encoded in the escape transition matrix b Af of an interval map f, extending the traditional matrix Af which considers the transition among the Markov subintervals. We show that the escape transition matrix is a topological conjugacy invariant. We then characterize the 0–1 matrices that can be fabricated as escape transition matrices of Markov interval maps f with escape sets. This shows the richness of this class of interval maps. |
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Escape Dynamics for Interval mapsWe study the structure of the escape orbits for a certain class of interval maps. This structure is encoded in the escape transition matrix b Af of an interval map f, extending the traditional matrix Af which considers the transition among the Markov subintervals. We show that the escape transition matrix is a topological conjugacy invariant. We then characterize the 0–1 matrices that can be fabricated as escape transition matrices of Markov interval maps f with escape sets. This shows the richness of this class of interval maps.AIMS2020-03-02T16:37:24Z2020-03-022019-11-11T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/27623http://hdl.handle.net/10174/27623https://doi.org/10.3934/dcds.2019272porhttps://www.aimsciences.org/article/doi/10.3934/dcds.2019272ccr@uevora.pt721Correia Ramos, Carlosinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:22:52Zoai:dspace.uevora.pt:10174/27623Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:17:30.035932Repositório 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 |
Escape Dynamics for Interval maps |
| title |
Escape Dynamics for Interval maps |
| spellingShingle |
Escape Dynamics for Interval maps Correia Ramos, Carlos |
| title_short |
Escape Dynamics for Interval maps |
| title_full |
Escape Dynamics for Interval maps |
| title_fullStr |
Escape Dynamics for Interval maps |
| title_full_unstemmed |
Escape Dynamics for Interval maps |
| title_sort |
Escape Dynamics for Interval maps |
| author |
Correia Ramos, Carlos |
| author_facet |
Correia Ramos, Carlos |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Correia Ramos, Carlos |
| description |
We study the structure of the escape orbits for a certain class of interval maps. This structure is encoded in the escape transition matrix b Af of an interval map f, extending the traditional matrix Af which considers the transition among the Markov subintervals. We show that the escape transition matrix is a topological conjugacy invariant. We then characterize the 0–1 matrices that can be fabricated as escape transition matrices of Markov interval maps f with escape sets. This shows the richness of this class of interval maps. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019-11-11T00:00:00Z 2020-03-02T16:37:24Z 2020-03-02 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10174/27623 http://hdl.handle.net/10174/27623 https://doi.org/10.3934/dcds.2019272 |
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http://hdl.handle.net/10174/27623 https://doi.org/10.3934/dcds.2019272 |
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por |
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por |
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https://www.aimsciences.org/article/doi/10.3934/dcds.2019272 ccr@uevora.pt 721 |
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info:eu-repo/semantics/embargoedAccess |
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embargoedAccess |
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AIMS |
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AIMS |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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