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arXiv · 2105.08354

Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface

Pierre Berger
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Abstract

We show the coexistence of chaotic behaviors (positive metric entropy) and elliptic behaviors (intregrable KAM island) among analytic, symplectic diffeomorphism of any closed surface. In particilar this solves a problem by F. Przytycki (1982).

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Pierre Berger. 2021-05-18. Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface. https://arxiv.org/abs/2105.08354

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