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

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.

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 42; no. 2; pp. 777 - 791
Main Authors FAYAD, BASSAM, SAPRYKINA, MARIA
Format Journal Article
LanguageEnglish
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
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Summary: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.
ISSN:0143-3857
1469-4417
1469-4417
DOI:10.1017/etds.2021.12