Davide Zaccaria
Publications:
|
Barbieri S., Biasco L., Chierchia L., Zaccaria D.
Singular KAM Theory for Convex Hamiltonian Systems
2025, vol. 30, no. 4, pp. 538-549
Abstract
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.
|