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Singular KAM theory for convex Hamiltonian systems

Singular KAM theory for convex Hamiltonian systems

来源:Arxiv_logoArxiv
英文摘要

In this note, we briefly discuss how singular KAM Theory - which was worked out in a previous work by L.B. and L.C. for the mechanical case $\frac12 |y|^2+\varepsilon f(x)$ - can be extended to convex real analytic nearly integrable Hamiltonian systems with Hamiltonian in action-angle variables given by $h(y)+\varepsilon f(x)$ with $h$ convex and generic $f$.

Santiago Barbieri、Luca Biasco、Luigi Chierchia、Davide Zaccaria

数学物理学

Santiago Barbieri,Luca Biasco,Luigi Chierchia,Davide Zaccaria.Singular KAM theory for convex Hamiltonian systems[EB/OL].(2025-07-16)[2025-08-23].https://arxiv.org/abs/2507.12101.点此复制

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