Smale horseshoes and chaos in discretized perturbed NLS systems(I)—Poincaré map

被引：0
|
作者：
Ping Gao
Bo-ling Guo
机构：
[1] Guangzhou University,Department of Applied Mathematics
[2] Institute of Applied Physics and Computational Mathematics,undefined
来源：
Applied Mathematics and Mechanics | 2005年 / 26卷
关键词：
homoclinic orbit; Poincaré map; Smale horseshoes; Conley-Moser condition; O175; A; 35Q;
D O I：
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中图分类号：
学科分类号：
摘要：
The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger (NLS) equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretized perturbed NLS system is shown to possess an invariant set ∧ on which the dynamics is topologically conjugate to a shift on four symbols.
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页码：1391 / 1401
页数：10
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