most citedParametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables

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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…

math-ph2012

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

Wu-Hwan Jong, Jin-Chol Paek

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 dea…