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

Access to Document

10.1017/S0143385705000398

Cite this

@article{4da037f7479c4b098647366f69397d41,

title = "Expansive attractors on surfaces",

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.",

author = "Hertz, {F. Rodriguez} and Hertz, {J. Rodriguez}",

year = "2006",

month = feb,

day = "1",

doi = "10.1017/S0143385705000398",

language = "English (US)",

volume = "26",

pages = "291--302",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Expansive attractors on surfaces

AU - Hertz, F. Rodriguez

AU - Hertz, J. Rodriguez

PY - 2006/2/1

Y1 - 2006/2/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=30744471412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30744471412&partnerID=8YFLogxK

U2 - 10.1017/S0143385705000398

DO - 10.1017/S0143385705000398

M3 - Article

AN - SCOPUS:30744471412

SN - 0143-3857

VL - 26

SP - 291

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

Access to Document

Other files and links

Fingerprint

Cite this