A KAM theorem for generalized Hamiltonian systems without action-angle variables

Abstract

We proved a KAM theorem on existence of invariant tori in generalized Hamiltonian systems without action-angle variables. It is a generalization of the result of de la Llave et al. [Llave, 2005] that deals with canonical Hamiltonian system.

References in corpus (3)

• A proof of the invariant torus theorem of Kolmogorov
• Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems
• Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables