Expansive attractors on surfaces

F. Rodriguez Hertz; J. Rodriguez Hertz

doi:10.1017/S0143385705000398

Expansive attractors on surfaces

F. Rodriguez Hertz
, J. Rodriguez Hertz

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We obtain a local topological and dynamical description of expansive attractors on surfaces. The main result is that expansive attractors on surfaces are hyperbolic and have local product structure, except possibly at a finite number of periodic points, which can be either sinks, singularities or épines. Some open questions concerning this kind of dynamics are posed.

Original language	English (US)
Pages (from-to)	291-302
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	26
Issue number	1
DOIs	https://doi.org/10.1017/S0143385705000398
State	Published - Feb 1 2006

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/S0143385705000398

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abstract = "We obtain a local topological and dynamical description of expansive attractors on surfaces. The main result is that expansive attractors on surfaces are hyperbolic and have local product structure, except possibly at a finite number of periodic points, which can be either sinks, singularities or {\'e}pines. Some open questions concerning this kind of dynamics are posed.",

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AB - We obtain a local topological and dynamical description of expansive attractors on surfaces. The main result is that expansive attractors on surfaces are hyperbolic and have local product structure, except possibly at a finite number of periodic points, which can be either sinks, singularities or épines. Some open questions concerning this kind of dynamics are posed.

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UR - https://www.scopus.com/pages/publications/30744471412#tab=citedBy

U2 - 10.1017/S0143385705000398

DO - 10.1017/S0143385705000398

M3 - Article

AN - SCOPUS:30744471412

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EP - 302

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 1

ER -

Expansive attractors on surfaces

Abstract

All Science Journal Classification (ASJC) codes

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