Controlling spatiotemporal dynamics with time-delay feedback

被引:60
|
作者
Bleich, ME [1 ]
Socolar, JES [1 ]
机构
[1] DUKE UNIV,CTR NONLINEAR & COMPLEX SYST,DURHAM,NC 27708
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 01期
关键词
D O I
10.1103/PhysRevE.54.R17
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We suggest a spatially local feedback mechanism for stabilizing periodic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the system, does not require the external generation of an ideal reference state and can suppress both absolute and convective instabilities. As an example, we analyze the complex Ginzburg-Landau equation in one dimension, showing how the time-delay feedback enlarges the stability domain for traveling waves.
引用
收藏
页码:R17 / R20
页数:4
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