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

• Published in: Ergodic theory and dynamical systems Vol. 42; no. 2; pp. 777 - 791
• Main Authors: FAYAD, BASSAM, SAPRYKINA, MARIA
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.02.2022
• Subjects: AbC method; Anosov-Katok method; Diffusion; Energy; Hamiltonian functions; Hamiltonian systems; Neighborhoods; Original Article; topological weak mixing; Topology; Hamiltonian systems; diffusion; 37J39; 37J40; topological weak mixing; Anosov–Katok method; AbC method

We present examples of nearly integrable analytic Hamiltonian systems with several strong diffusion properties: topological weak mixing and diffusion at all times. These examples are obtained by AbC constructions with several frequencies.