共 12 条
- [11] VAIDYA PG, UNPUB
- [12] Willems JL, 1970, STABILITY THEORY DYN
ANALYSIS AND SYNTHESIS OF SYNCHRONOUS PERIODIC AND CHAOTIC SYSTEMS
被引：171
作者：
HE, R
VAIDYA, PG
机构：
[1] Department of Mechanical and Materials Engineering, Washington State University, Pullman
来源：
PHYSICAL REVIEW A
|
1992年
/
46卷
/
12期
关键词：
D O I：
10.1103/PhysRevA.46.7387
中图分类号：
O43 [光学];
学科分类号：
070207 ;
0803 ;
摘要：
Chaotic systems are known for their sensitivity to initial conditions. However, Pecora and Carroll [Phys. Rev. Lett. 64, 821 (1990); Phys. Rev. A 44,2374 (1991); IEEE Trans. Circuits Syst. 38, 453 (1991)] have recently shown that a system, consisting of two Lorenz oscillators exhibiting chaos, could achieve synchronization if a portion of the second system is driven by the first. In this paper, a necessary and sufficient condition for synchronization is presented. This condition has been used to create a high-dimensional chaotic system with a nonlinear subsystem. This system shows synchronization both when it exhibits periodic limit cycles and when it turns chaotic.
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页码：7387 / 7392
页数：6
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