Existence of Invariant Tori for Differentiable Hamiltonian Vector Fields without Action-Angle Variables

2012/08/10 by Wu-Hwan Jong, Jong, Wu-Hwan, Jin-Chol Paek +1
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Geometric and Algebraic Topology #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1208.2083

Abstract

We proved the existence of invariant tori in differentiable Hamiltonian vector fields without action-angle variables. It is a generalization of the result of [Llave, 2005] that deals with analytic vector fields.

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