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Coexistence and persistence of infinitely many strange attractors

Published online by Cambridge University Press:  02 October 2001

A. PUMARIÑO  and
J. A. RODRÍGUEZ
A. PUMARIÑO
Affiliation:
Departamento de Matemáticas, Universidad de Oviedo, C. Calvo Sotelo s/n, 33007 Oviedo, Spain
J. A. RODRÍGUEZ
Affiliation:
Departamento de Matemáticas, Universidad de Oviedo, C. Calvo Sotelo s/n, 33007 Oviedo, Spain
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Abstract

The aim of this paper is to present a one-parameter family X_a of three-dimensional vector fields which has infinitely many persistent Hénon-like strange attractors. This family also has infinitely many periodic attractors for values of the parameter in an open set.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 5 , October 2001 , pp. 1511 - 1523
Copyright
2001 Cambridge University Press

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