Geometry of Arnold Diffusion

被引：24

作者：

Kaloshin, Vadim ^{[1
]}

Levi, Mark ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

SIAM REVIEW | 2008年 / 50卷 / 04期

关键词：

Hamiltonian systems; instability; integrability; resonances;

D O I：

10.1137/070703235

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to present to nonspecialists what is perhaps the simplest possible geometrical picture explaining the mechanism of Arnold diffusion. We choose to speak of a specific model-that of geometric rays in a periodic optical medium. This model is equivalent to that of a particle in a periodic potential in R-n with energy prescribed and to the geodesic flow in a Riemannian metric on R-n.

引用

页码：702 / 720

页数：19

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