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Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian

Eric Bedford·John Smillie
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Abstract

This paper concerns the Henon family of diffeomorphisms of the plane for which the absolute value of the jacobian parameter is bounded by .08. We describe the parameter locus for which the mapping is a horseshoe.

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Eric Bedford, John Smillie. 2004-02-23. Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian. https://arxiv.org/abs/math/0402355

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