Weak and strong synchronization of chaos

被引:251
作者
Pyragas, K [1 ]
机构
[1] INST SEMICOND PHYS, LT-2600 VILNIUS, LITHUANIA
关键词
D O I
10.1103/PhysRevE.54.R4508
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
It is shown that synchronization in unidirectionally coupled chaotic systems develops in two stages as the coupling strength is increased. The first stage is characterized by a weak synchronization, i.e., a response system subjected to a driving system undergoes a transition and exhibits a behavior completely insensitive to initial conditions. Further increase oi the coupling strength causes the dimension decrease of the overall dynamics smd leads finally to a strong synchronization. In this stage, the dimension of the strange attractor in the full phase space of the two systems saturates to the dimension of the driving attractor.
引用
收藏
页码:R4508 / R4511
页数:4
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