Minimal periodic orbit structure of 2-dimensional homeomorphisms

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 th...

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Detalles Bibliográficos
Autores principales: Solari, H.G., Natiello, M.A.
Formato: JOUR
Materias:
Anosov representative
D homeomorphisms of the disk
Thurston classification theorem
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09388974_v15_n3_p183_Solari
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09388974_v15_n3_p183_Solari
record_format dspace
spelling todo:paper_09388974_v15_n3_p183_Solari2023-10-03T15:48:46Z Minimal periodic orbit structure of 2-dimensional homeomorphisms Solari, H.G. Natiello, M.A. Anosov representative D homeomorphisms of the disk Thurston classification theorem 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09388974_v15_n3_p183_Solari
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Anosov representative
D homeomorphisms of the disk
Thurston classification theorem
spellingShingle Anosov representative
D homeomorphisms of the disk
Thurston classification theorem
Solari, H.G.
Natiello, M.A.
Minimal periodic orbit structure of 2-dimensional homeomorphisms
topic_facet Anosov representative
D homeomorphisms of the disk
Thurston classification theorem
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.
format JOUR
author Solari, H.G.
Natiello, M.A.
author_facet Solari, H.G.
Natiello, M.A.
author_sort Solari, H.G.
title Minimal periodic orbit structure of 2-dimensional homeomorphisms
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
url http://hdl.handle.net/20.500.12110/paper_09388974_v15_n3_p183_Solari
work_keys_str_mv AT solarihg minimalperiodicorbitstructureof2dimensionalhomeomorphisms
AT natielloma minimalperiodicorbitstructureof2dimensionalhomeomorphisms
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