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Birkhoff-Hénon attractors for dissipative perturbations of area-preserving twist maps
Published online by Cambridge University Press: 19 September 2008
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.
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- Copyright © Cambridge University Press 1994
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