Singular KAM theory for convex Hamiltonian systems
Dynamical Systems
2025-07-17 v1
Abstract
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 - can be extended to convex real analytic nearly integrable Hamiltonian systems with Hamiltonian in action-angle variables given by with convex and generic .
Cite
@article{arxiv.2507.12101,
title = {Singular KAM theory for convex Hamiltonian systems},
author = {Santiago Barbieri and Luca Biasco and Luigi Chierchia and Davide Zaccaria},
journal= {arXiv preprint arXiv:2507.12101},
year = {2025}
}