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Expansive attractors on surfaces

Published online by Cambridge University Press:  24 November 2005

F. RODRIGUEZ HERTZ  and
J. RODRIGUEZ HERTZ
F. RODRIGUEZ HERTZ
Affiliation:
IMERL - Facultad de Ingeniería, Julio Herrera y Reissig 565, 11300 Montevideo, Uruguay (e-mail: [email protected], [email protected])
J. RODRIGUEZ HERTZ
Affiliation:
IMERL - Facultad de Ingeniería, Julio Herrera y Reissig 565, 11300 Montevideo, Uruguay (e-mail: [email protected], [email protected])
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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 épines. Some open questions concerning this kind of dynamics are posed.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 291 - 302
Copyright
2005 Cambridge University Press

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