Hyperbolicity of renormalization for dissipative gap mappings

Detalhes bibliográficos
Autor(a) principal: Clark, Trevor
Data de Publicação: 2021
Outros Autores: Gouveia, Márcio [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1017/etds.2021.88
http://hdl.handle.net/11449/222353
Resumo: A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lorenz flow and the Cherry flow. In this paper, we prove hyperbolicity of renormalization acting on dissipative gap mappings, and show that the topological conjugacy classes of infinitely renormalizable gap mappings are manifolds.
id UNSP_5ee3154e2459b1fd88754536e9d44370
oai_identifier_str oai:repositorio.unesp.br:11449/222353
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Hyperbolicity of renormalization for dissipative gap mappingsgap mappingshyperbolicity of renormalizationLorenz and Cherry flowsLorenz mappingsA gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lorenz flow and the Cherry flow. In this paper, we prove hyperbolicity of renormalization acting on dissipative gap mappings, and show that the topological conjugacy classes of infinitely renormalizable gap mappings are manifolds.Department of Mathematics Imperial CollegeIBILCE-UNESP, São PauloIBILCE-UNESP, São PauloImperial CollegeUniversidade Estadual Paulista (UNESP)Clark, TrevorGouveia, Márcio [UNESP]2022-04-28T19:44:12Z2022-04-28T19:44:12Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1017/etds.2021.88Ergodic Theory and Dynamical Systems.1469-44170143-3857http://hdl.handle.net/11449/22235310.1017/etds.2021.882-s2.0-85114292880Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengErgodic Theory and Dynamical Systemsinfo:eu-repo/semantics/openAccess2022-04-28T19:44:12Zoai:repositorio.unesp.br:11449/222353Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:47:02.128203Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Hyperbolicity of renormalization for dissipative gap mappings
title Hyperbolicity of renormalization for dissipative gap mappings
spellingShingle Hyperbolicity of renormalization for dissipative gap mappings
Clark, Trevor
gap mappings
hyperbolicity of renormalization
Lorenz and Cherry flows
Lorenz mappings
title_short Hyperbolicity of renormalization for dissipative gap mappings
title_full Hyperbolicity of renormalization for dissipative gap mappings
title_fullStr Hyperbolicity of renormalization for dissipative gap mappings
title_full_unstemmed Hyperbolicity of renormalization for dissipative gap mappings
title_sort Hyperbolicity of renormalization for dissipative gap mappings
author Clark, Trevor
author_facet Clark, Trevor
Gouveia, Márcio [UNESP]
author_role author
author2 Gouveia, Márcio [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Imperial College
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Clark, Trevor
Gouveia, Márcio [UNESP]
dc.subject.por.fl_str_mv gap mappings
hyperbolicity of renormalization
Lorenz and Cherry flows
Lorenz mappings
topic gap mappings
hyperbolicity of renormalization
Lorenz and Cherry flows
Lorenz mappings
description A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lorenz flow and the Cherry flow. In this paper, we prove hyperbolicity of renormalization acting on dissipative gap mappings, and show that the topological conjugacy classes of infinitely renormalizable gap mappings are manifolds.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
2022-04-28T19:44:12Z
2022-04-28T19:44:12Z
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://dx.doi.org/10.1017/etds.2021.88
Ergodic Theory and Dynamical Systems.
1469-4417
0143-3857
http://hdl.handle.net/11449/222353
10.1017/etds.2021.88
2-s2.0-85114292880
url http://dx.doi.org/10.1017/etds.2021.88
http://hdl.handle.net/11449/222353
identifier_str_mv Ergodic Theory and Dynamical Systems.
1469-4417
0143-3857
10.1017/etds.2021.88
2-s2.0-85114292880
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ergodic Theory and Dynamical Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129357784285184

Registros relacionados