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

📝 Original Info

• Title: Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables
• ArXiv ID: 1302.6036
• Date: 2015-06-15
• Authors: Researchers from original ArXiv paper

📝 Abstract

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 al. 2005] that deals with real analytic Hamiltonians.

💡 Deep Analysis

Deep Dive into Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables.

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 al. 2005] that deals with real analytic Hamiltonians.

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