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arXiv · 1712.06656

Non-uniformly hyperbolic horseshoes in the standard family

Carlos Matheus·Carlos Gustavo Moreira·Jacob Palis
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Abstract

We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus for a set of (large) parameters of positive Lebesgue measure.

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Carlos Matheus, Carlos Gustavo Moreira, Jacob Palis. 2017-12-18. Non-uniformly hyperbolic horseshoes in the standard family. https://arxiv.org/abs/1712.06656

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