In this note, we briefly discuss how the singular KAM theory of [7] — which was worked out for the mechanical case — can be extended to convex real-analyticnearly integrable Hamiltonian systemswith Hamiltonian in action-angle variables given by with convex and generic.
Barbieri, S., Biasco, L., Chierchia, L., Zaccaria, D. (2025). Singular KAM Theory for Convex Hamiltonian Systems. REGULAR & CHAOTIC DYNAMICS, 30(4), 538-549 [10.1134/s1560354725040057].
Singular KAM Theory for Convex Hamiltonian Systems
Barbieri, Santiago;Biasco, Luca
;Chierchia, Luigi;Zaccaria, Davide
2025-01-01
Abstract
In this note, we briefly discuss how the singular KAM theory of [7] — which was worked out for the mechanical case — can be extended to convex real-analyticnearly integrable Hamiltonian systemswith Hamiltonian in action-angle variables given by with convex and generic.File in questo prodotto:
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