Robust transport barriers resulting from strong Kolmogorov-Arnold-Moser stability.
Robust transport barriers resulting from strong Kolmogorov-Arnold-Moser stability.
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强大的柯尔莫哥洛夫-阿诺德-莫泽稳定性带来了强大的运输屏障。
DOI：
10.1103/physrevlett.98.104102
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发表时间：
2007
影响因子：
8.6
通讯作者：
I. Udovydchenkov
中科院分区：
文献类型：
--
作者：
I. Rypina;Michael G. Brown;F. Beron;H. Koçak;M. J. Olascoaga;I. Udovydchenkov
局部违反扭转条件的哈密顿系统在许多应用中都有出现。数值模拟表明，当这种类型的系统受到摄动时，简并或非扭转环面是非常稳定的。这种现象，我们称之为强Kolmogorov-Arnold-Moser （KAM）稳定性，被证明与简并环面附近非常小的共振宽度有关。导出了简并共振宽度的定量估计，并描述了简并共振的分岔。强的KAM稳定性导致强大的输运屏障，这在具有非扭转性质的哈密顿子出现的所有许多应用中都是重要的。
Hamiltonian systems that locally violate the twist condition arise in many applications. Numerical simulations reveal that, when systems of this type are perturbed, the degenerate or nontwist tori are remarkably stable. This phenomenon, which we refer to as strong Kolmogorov-Arnold-Moser (KAM) stability, is shown to be linked to very small resonance widths near degenerate tori. Quantitative estimates of degenerate resonance widths are derived and bifurcations of degenerate resonances are described. Strong KAM stability leads to robust transport barriers, which are important in all of the many applications in which Hamilitonians with the nontwist property arise.