CHAOS, NOISE, AND SYNCHRONIZATION RECONSIDERED

被引:62
作者
HERZEL, H [1 ]
FREUND, J [1 ]
机构
[1] HUMBOLDT UNIV BERLIN,INST PHYS,D-10099 BERLIN,GERMANY
来源
PHYSICAL REVIEW E | 1995年 / 52卷 / 03期
关键词
D O I
10.1103/PhysRevE.52.3238
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
In a recent paper, Maritan and Banavar [Phys. Rev. Lett. 72, 1451 (1994)] reported the synchronization of identical chaotic systems by additive noise. We relate such a synchronization to the maximum Lyapunov exponent of a single system and discuss the underlying mechanisms of the effect. In the case of the Lorenz equations, the nonvanishing mean of the noise mimics a parameter change leading to synchronization. For the logistic map a state dependence of the fluctuations is induced by the boundary conditions.
引用
收藏
页码:3238 / 3241
页数:4
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