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An unstable three-dimensional KAM torus for the quintic NLS
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2019-01-01 , DOI: 10.4310/dpde.2019.v16.n3.a3
Nguyen Thuy Trung 1
Affiliation  

We consider the quintic nonlinear Schr{o}dinger on the circle. By applying a Birkhoff procedure and a KAM theorem, we exihibit a three dimension invariant torus that is linearly unstable. In comparison, we also prove that two dimensional tori are always linearly stable.

中文翻译:

五次 NLS 的不稳定三维 KAM 环面

我们考虑圆上的五次非线性 Schr{o}dinger。通过应用 Birkhoff 过程和 KAM 定理,我们展示了一个线性不稳定的三维不变环。相比之下,我们还证明了二维环面始终是线性稳定的。
更新日期:2019-01-01
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