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arXiv · 1112.0705

Proof of the Pruning Front Conjecture for certain Hénon parameters

Valentín Mendoza
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Abstract

The Pruning Front Conjecture is proved for an open set of Hénon parameters far from unimodal. More specifically, for an open subset of Hénon parameter space, consisting of two connected components one of which intersects the area-preserving locus, it is shown that the associated Hénon maps are prunings of the horseshoe. In particular, their dynamics is a subshift of the two-sided two-shift.

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Valentín Mendoza. 2012-06-20. Proof of the Pruning Front Conjecture for certain Hénon parameters. https://doi.org/10.1088/0951-7715%2F26%2F3%2F679

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