Singular KAM Theory for Convex Hamiltonian Systems
2025, Volume 30, Number 4, pp. 538-549
Author(s): Barbieri S., Biasco L., Chierchia L., Zaccaria D.
Author(s): Barbieri S., Biasco L., Chierchia L., Zaccaria D.
In this note, we briefly discuss how the singular KAM theory of [7] — which was worked out 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
$f$ generic.
|
Access to the full text on the Springer website |