Minimal periodic orbit structure of 2-dimensional homeomorphisms

Autores
Solari, Hernan Gustavo; Natiello, M.A.
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D 2. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In particular, we introduce the notion of complexity to monitor the modification process used to obtain the desired goals. An algorithm implementing the procedure is described and some examples are presented at the end. © 2005 Springer.
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Natiello, M.A.. Lund University; Suecia
Materia
Anosov Representative
D Homeomorphisms Of the Disk
Thurston Classification Theorem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/61189
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Minimal periodic orbit structure of 2-dimensional homeomorphismsSolari, Hernan GustavoNatiello, M.A.Anosov RepresentativeD Homeomorphisms Of the DiskThurston Classification Theoremhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D 2. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In particular, we introduce the notion of complexity to monitor the modification process used to obtain the desired goals. An algorithm implementing the procedure is described and some examples are presented at the end. © 2005 Springer.Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Natiello, M.A.. Lund University; SueciaSpringer2005-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/61189Solari, Hernan Gustavo; Natiello, M.A.; Minimal periodic orbit structure of 2-dimensional homeomorphisms; Springer; Journal Of Nonlinear Science; 15; 3; 12-2005; 183-2220938-8974CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00332-005-0637-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T15:48:52Zoai:ri.conicet.gov.ar:11336/61189instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 15:48:52.463CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Minimal periodic orbit structure of 2-dimensional homeomorphisms
title Minimal periodic orbit structure of 2-dimensional homeomorphisms
spellingShingle Minimal periodic orbit structure of 2-dimensional homeomorphisms
Solari, Hernan Gustavo
Anosov Representative
D Homeomorphisms Of the Disk
Thurston Classification Theorem
title_short Minimal periodic orbit structure of 2-dimensional homeomorphisms
title_full Minimal periodic orbit structure of 2-dimensional homeomorphisms
title_fullStr Minimal periodic orbit structure of 2-dimensional homeomorphisms
title_full_unstemmed Minimal periodic orbit structure of 2-dimensional homeomorphisms
title_sort Minimal periodic orbit structure of 2-dimensional homeomorphisms
dc.creator.none.fl_str_mv Solari, Hernan Gustavo
Natiello, M.A.
author Solari, Hernan Gustavo
author_facet Solari, Hernan Gustavo
Natiello, M.A.
author_role author
author2 Natiello, M.A.
author2_role author
dc.subject.none.fl_str_mv Anosov Representative
D Homeomorphisms Of the Disk
Thurston Classification Theorem
topic Anosov Representative
D Homeomorphisms Of the Disk
Thurston Classification Theorem
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D 2. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In particular, we introduce the notion of complexity to monitor the modification process used to obtain the desired goals. An algorithm implementing the procedure is described and some examples are presented at the end. © 2005 Springer.
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Natiello, M.A.. Lund University; Suecia
description We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D 2. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In particular, we introduce the notion of complexity to monitor the modification process used to obtain the desired goals. An algorithm implementing the procedure is described and some examples are presented at the end. © 2005 Springer.
publishDate 2005
dc.date.none.fl_str_mv 2005-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/61189
Solari, Hernan Gustavo; Natiello, M.A.; Minimal periodic orbit structure of 2-dimensional homeomorphisms; Springer; Journal Of Nonlinear Science; 15; 3; 12-2005; 183-222
0938-8974
CONICET Digital
CONICET
url http://hdl.handle.net/11336/61189
identifier_str_mv Solari, Hernan Gustavo; Natiello, M.A.; Minimal periodic orbit structure of 2-dimensional homeomorphisms; Springer; Journal Of Nonlinear Science; 15; 3; 12-2005; 183-222
0938-8974
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00332-005-0637-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.334379

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