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

DOI10.5802/jep.224OpenAlexW3162907648MaRDI QIDQ2701373

Pierre Berger

Publication date: 28 April 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08354

zbMATH Keywords

integrable systemcoexistenceanalyticsymplectomorphismpositive metric entropyelliptic islandstochastic island

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Completely integrable discrete dynamical systems (37J70) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

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