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

基金：

中国国家自然科学基金;

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

页码：292 / 298

页数：7

共 25 条

[1] Intermittent synchronization in a pair of coupled chaotic pendula [J].

Baker, GL ;

Blackburn, JA ;

Smith, HJT .

PHYSICAL REVIEW LETTERS, 1998, 81 (03) :554-557

[2] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

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

Brown, R ;

Rulkov, NF .

PHYSICAL REVIEW LETTERS, 1997, 78 (22) :4189-4192

[4] CASCADING SYNCHRONIZED CHAOTIC SYSTEMS [J].

CARROLL, TL ;

PECORA, LM .

PHYSICA D, 1993, 67 (1-3) :126-140

[5] CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].

CUOMO, KM ;

OPPENHEIM, AV .

PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68

[6] CHAOS SHIFT KEYING - MODULATION AND DEMODULATION OF A CHAOTIC CARRIER USING SELF-SYNCHRONIZING CHUA CIRCUITS [J].

DEDIEU, H ;

KENNEDY, MP ;

HASLER, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :634-642

[7] Synchronizing hyperchaos with a scalar signal by parameter controlling [J].

Duan, CK ;

Yang, SS .

PHYSICS LETTERS A, 1997, 229 (03) :151-155

[8] Intermittent loss of synchronization in coupled chaotic oscillators: Toward a new criterion for high-quality synchronization [J].

Gauthier, DJ ;

Bienfang, JC .

PHYSICAL REVIEW LETTERS, 1996, 77 (09) :1751-1754

[9] Synchronization and imposed bifurcations in the presence of large parameter mismatch [J].

Johnson, GA ;

Mar, DJ ;

Carroll, TL ;

Pecora, LM .

PHYSICAL REVIEW LETTERS, 1998, 80 (18) :3956-3959

[10] GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION [J].

KOCAREV, L ;

PARLITZ, U .

PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5028-5031

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