Finding the chaotic synchronizing state with gradient descent algorithm

被引：12

作者：

Chen, JY

Wong, KW ^{[1
]}

Shuai, JW

机构：

[1] City Univ Hong Kong, Dept Elect Engn, Kowloon, Peoples R China

[2] Xiamen Univ, Dept Phys, Xiamen, Peoples R China

[3] Case Western Reserve Univ, Dept Biomed Engn, Cleveland, OH 44106 USA

来源：

PHYSICS LETTERS A | 1999年 / 263卷 / 4-6期

关键词：

nonlinear dynamics; chaotic synchronization; Lyapunov exponents; gradient descent algorithm;

D O I：

10.1016/S0375-9601(99)00722-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the gradient descent algorithm is proposed to search for the optimal synchronization between a drive and a response hyperchaotic systems that are coupled with a scalar signal. The energy corresponds to the largest Lyapunov exponent of the response system is defined. Its convergence indicates that the corresponding Lyapunov exponent is always negative. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：315 / 322

页数：8

共 18 条

[1] Designing a coupling that guarantees synchronization between identical chaotic systems [J].