Topological weak mixing and diffusion at all times for a class of Hamiltonian systems

DOI10.1017/ETDS.2021.12zbMath1492.37062arXiv2104.05640OpenAlexW3165761725WikidataQ114119007 ScholiaQ114119007MaRDI QIDQ5021957

Maria Saprykina, Bassam Fayad

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05640

zbMATH Keywords

diffusionHamiltonian systemstopological weak mixingAnosov-Katok methodAbC method

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
• Some open problems in dynamical systems
• Around the stability of KAM tori
• ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
• Analytic mixing reparametrizations of irrational flows
• Isolated elliptic fixed points for smooth Hamiltonians

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