Chaotic synchronization based on stability criterion of linear systems

被引：87
|
作者：
Yu, HJ [1 ]
Liu, YZ [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200030, Peoples R China
来源：
PHYSICS LETTERS A | 2003年 / 314卷 / 04期
关键词：
chaos; synchronization; hyperchaos; stability criterion; linear systems; duffing oscillator;
D O I：
10.1016/S0375-9601(03)00908-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new approach for constructing chaotically synchronizing systems is proposed in this Letter. This method is based upon the stability criterion of linear systems. The complete synchronization and anti-synchronization for chaotic systems are discussed. The Lorenz system, the Duffing oscillator and the Rossler system are treated as examples. It is shown that the proposed method is simpler than the conventional synchronization approach, and is effective for autonomous or non-autonomous systems. Since the Lyapunov exponents are not required to calculate, this method is convenient particularly for the synchronization of hyperchaotic systems with more two positive, Lyapunov exponents. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：292 / 298
页数：7
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