An example of Arnold diffusion for near-integrable Hamiltonians
An example of Arnold diffusion for near-integrable Hamiltonians
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DOI：
10.1090/s0273-0979-08-01211-1
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发表时间：
2008-04
影响因子：
1.3
通讯作者：
V. Kaloshin;M. Levi
中科院分区：
文献类型：
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作者：
V. Kaloshin;M. Levi
在本文中，使用Bessi和Mather的思想，我们提出了一个简单的力学系统展示阿诺德扩散。这个系统的粒子在一个小的周期性的潜力也可以解释为光线传播的周期性光学介质具有接近恒定的折射率。阿诺德扩散在这种情况下表现为一个任意的有限变化的方向几乎恒定的折射率。
In this paper, using the ideas of Bessi and Mather, we present a simple mechanical system exhibiting Arnold diffusion. This system of a particle in a small periodic potential can be also interpreted as ray propagation in a periodic optical medium with a near-constant index of refraction. Arnold diffusion in this context manifests itself as an arbitrary finite change of direction for nearly constant index of refraction.