Periodic solutions in one-dimensional coupled map lattices

被引：0
|
作者：
Zheng Yong-ai
Liu Zeng-rong
机构：
[1] Yangzhou University,Department of Mathematics
[2] Shanghai University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2003年 / 24卷 / 5期
关键词：
coupled map lattice; nonlinear periodic solution; anti-integrable limit; logistic map; O175; 34C25; 34A12;
D O I：
10.1007/BF02435864
中图分类号：
学科分类号：
摘要：
It is proven that the existence of nonlinear solutions with time period in one-dimensional coupled map lattice with nearest neighbor coupling. This is a class of systems whose behavior can be regarded as infinite array of coupled oscillators. A method for estimating the critical coupling strength below which these solutions with time period persist is given. For some particular nonlinear solutions with time period, exponential decay in space is proved.
引用
收藏
页码：521 / 526
页数：5
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