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Birkhoff-Hénon attractors for dissipative perturbations of area-preserving twist maps

Published online by Cambridge University Press:  19 September 2008

Leonardo Mora
Leonardo Mora
Affiliation:
Instituto Venezolano de Investigaciones Cientificas, Departamento de Matemáticas, Apartado 21827, Caracas 1020-A, Venezuela
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Abstract

We prove that an area-preserving twist map having an invariant curve, can be approximated by a twist map exhibiting a Birkhoff-Hénon attractor. This is done by showing that the invariant curve can be perturbed into a saddle-node cycle with criticalities and by using a recent result reported by Diaz, Rocha and Viana.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 4 , December 1994 , pp. 807 - 815
Copyright
Copyright © Cambridge University Press 1994

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References

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