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On the approximation of Hénon-like attractors by homoclinic tangencies

Published online by Cambridge University Press:  14 October 2010

Raúl Ures
Raúl Ures
Affiliation:
IMERL, Facultad de Ingenieía, CC30 Montevideo, Uruguay
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Abstract

We prove that the diffeomorphisms with strange attractors shown to exist elsewhere are approximated by diffeomorphisms exhibiting homoclinic tangencies. As a consequence for the Hénon family these diffeomorphisms are approximated by diffeomorphisms exhibiting periodic attractors. This answers a question posed by Benedicks and Carleson.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1223 - 1229
Copyright
Copyright © Cambridge University Press 1995

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References

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