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arXiv · 1510.08754

A way to cross double resonance

Chong-Qing Cheng
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Abstract

For typical perturbations of convex integrable Hamiltonian system with three degrees of freedom, a path of diffusion is established to cross strong double resonant point. Together with the uniform hyperbolicity of invariant cylinders got in \cite{C15}, one obtains a transition chain along which one is able to construct diffusion orbits suggested in \cite{A66}.

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Chong-Qing Cheng. 2015-10-29. A way to cross double resonance. https://arxiv.org/abs/1510.08754

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