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math.DS2015
A KAM theorem for generalized Hamiltonian systems without action-angle variables
Yon Hui Jo, Wu Hwan Jong
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.…
math.DS2013
Preserving Problem of Local Boundedness of Hamiltonian Dynamical Systems by Symplectic Discretization
Wu-Hwan Jong, Yon-Hui Jo
We have researched the condition for symplectic discretization to preserve local boundedness for the space of 2-dimensional Hamiltonian dynamical systems in this paper.