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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.
math-ph2013★ 1 cited
Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables
Wu-hwan Jong, Jin-chol Paek
We proved a parametrized KAM theorem in Hamiltonian system which has differentiable Hamiltonian without action-angle coordinates. It is a generalization of the result of [Llave et…