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

2015/05/18 by Jo, Yon Hui, Jong, Wu Hwan
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1505.05827

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.

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