A way to cross double resonance

A way to cross double resonance
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DOI:
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发表时间:
2015-10
期刊:
arXiv: Dynamical Systems
影响因子:
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通讯作者:
Chong-qing Cheng
Chong-qing Cheng
中科院分区:
其他
文献类型:
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作者:
Chong-qing Cheng

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对于三自由度凸可积Hamilton系统的典型扰动,建立了通过强双共振点的扩散路径。与{C15}中得到的不变圆柱的一致双曲性一起,得到一个过渡链,沿着该过渡链沿着能够构造{A66}中提出的扩散轨道。
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}.