DRIVING SYSTEMS WITH CHAOTIC SIGNALS

被引:939
作者
PECORA, LM
CARROLL, TL
机构
[1] Code 6341, Naval Research Laboratory, Washington
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 04期
关键词
D O I
10.1103/PhysRevA.44.2374
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We generalize the idea of driving a stable system to the situation when the drive signal is chaotic. This leads to the concept of conditional Lyapunov exponents and also generalizes the usual criteria of the linear stability theorem. We show that driving with chaotic signals can be done in a robust fashion, rather insensitive to changes in system parameters. The calculation of the stability criteria leads naturally to an estimate for the convergence of the driven system to its stable state. We focus on a homogeneous driving situation that leads to the construction of synchronized chaotic subsystems. We apply these ideas to the Lorenz and Rossler systems, as well as to an electronic circuit and its numerical model.
引用
收藏
页码:2374 / 2383
页数:10
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