Аннотация:
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.
Ключевые слова:
nearly integrable Hamiltonian systems, convex Hamiltonians, measure of invariant
tori, simple resonances, Arnold – Kozlov – Neishtadt conjecture, singular KAM theory
Список литературы