A stable discretization on attractors of the damped and driven periodically sine-Gordon equation

被引：0
|
作者：
Huang, DB [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2002年 / 11卷 / 01期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the rationality of numerical schemes for continuous systems is studied from viewpoint of dynamics by investigating the damped and driven periodically sine-Gordon equation. The existence and convergence of attractors under its spectral discretization are showed, and such results throw light on the modal truncation of the sine-Gordon equation which was used in the previous literature.
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页码：127 / 141
页数：15
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