Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems

Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems
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哈密​​顿系统中柯尔莫哥洛夫-阿诺德-莫泽环面的相对体积和均匀分布、粘性和非粘性

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发表时间:
2008
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通讯作者:
L. Bunimovich
L. Bunimovich
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文献类型:
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作者:
L. Bunimovich

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讨论了哈密顿系统理论中的几个开放性问题。它们都与具有分相空间的哈密顿系统有关,其中Kolmogorov-Arnold-Moser环面与正测度的遍历分量共存。
We discuss several open problems in the theory of Hamiltonian systems. They are all related to the Hamiltonian systems with divided phase space, where Kolmogorov–Arnold–Moser tori coexist with ergodic components of positive measure.