Título:
Topologically Anosov plane homeomorphisms
Otros títulos:
Coordinador:
Director:
Compilador:
Autor:
Cousillas, Gonzalo
Groisman, Jorge
Xavier, Juliana
Groisman, Jorge
Xavier, Juliana
Tutor:
Tipo de documento:
Preprint
Editor:
Palabras clave:
Topologically expansive homeomorphism
Topological shadowing property
Topologically Anosov plane homeomorphism
Homothety
Topological shadowing property
Topologically Anosov plane homeomorphism
Homothety
Descriptores:
Año de publicación:
2018
Contenido:
Resumen:
This paper deals with classifying the dynamics of Topologically
Anosov plane homeomorphisms. We prove that a Topologically Anosov home-
omorphism f : R2 → R2 is conjugate to a homothety if it is the time one map
of a flow. We also obtain results for the cases when the nonwandering set of f
reduces to a fixed point, or if there exists an open, connected, simply connected
proper subset U such that U ⊂ Int(f (U )), and such that ∪n≥0f n(U ) = R2. In
the general case, we prove a structure theorem for the α-limits of orbits with
empty ω-limit (or the ω-limits of orbits with empty α-limit), and we show that
any basin of attraction (or repulsion) must be unbounded.
Descripción:
Editorial:
EN:
Financiadores:
Citación:
Cousillas, G., Groisman, J. y Xavier, J. Topologically Anosov plane homeomorphisms [Preprint] Publicado en : arXiv:1805.02737v1 [math.DS], may. 2018, pp. 1-10, DOI: 10.48550/arXiv.1805.02737. https://arxiv.org/abs/1805.02737.
Citación:
metadata.cc.license.name:
Documento del Gobiberno:
URI:
https://hdl.handle.net/20.500.12008/54924
ISBN:
e-ISBN:
ISSN:
ISMN:
Otros identificadores:
Título Obtenido:
Facultad o Servicio que otorga el Título:
Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
Cobertura geográfica:
Cobertura temporal:
metadata.dc.relation.IsVersionOf:
Clasificación:
Es versión de:
Colecciones:
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| CGX18.pdf | Preprint | 167.17 KB | Adobe PDF |