Singular KAM theory for convex Hamiltonian systems
Singular KAM theory for convex Hamiltonian systems
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
评论