Non-uniformly hyperbolic horseshoes in the standard family
classification
🧮 math.DS
keywords
familyhorseshoeshyperbolicnon-uniformlystandardarea-preservingdiffeomorphismslarge
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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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