Attractors and Dimensions for Discretizations of a NLS Equation with a Non-local Nonlinear Term

被引：0

作者：

Shu Qing MA

Qian Shun CHANG Department of Mathematics Science. University of Alberta. Canada T6G 2G1 Institute of Applied Mathematics. Academy of Mathematics and System Sciences. Chinese Academy of Sciences. Beijing 100080. P. R. China

机构：

来源：

Acta Mathematica Sinica,English Series | 2002年 / 18卷 / 04期

关键词：

Attractor; NLS equation;

D O I：

暂无

中图分类号：

O175.5 [积分方程];

学科分类号：

070104 ;

摘要：

In this paper we consider a semi-dicretized nonlinear Schrdinger (NLS) equation withlocal integral nonlinearity. It is proved that for each mesh size, there exist attractors for the discretizedsystem. The bounds tor the Hausdorff and fractal dimensions of the discrete attractors are obtained,and the various bounds are independent of the mesh sizes. Furthermore. numerical experiments aregiven and many interesting phenomena are observed such as limit cycles, chaotic attractors and aso-called crisis of the chaotic attractors.

引用

页码：779 / 800

页数：22

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