Synchronization of fractional order chaotic systems

被引：179

作者：

Li, CG ^{[1
]}

Liao, XF

Yu, JB

机构：

[1] Univ Elect Sci & Technol China, Sch Elect Engn, Inst Elect Syst, Chengdu 610054, Sichuan, Peoples R China

[2] Chongqing Univ, Sch Comp Sci & Technol, Chongqing 400044, Peoples R China

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.68.067203

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：

The chaotic dynamics of fractional order systems began to attract much attention in recent years. In this Brief Report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order chaotic systems can also be synchronized.

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页数：3

相关论文

共 25 条

[1] On nonlinear control design for autonomous chaotic systems of integer and fractional orders [J].

Ahmad, WM ;

Harb, AM .

CHAOS SOLITONS & FRACTALS, 2003, 18 (04) :693-701

[2] Chaos in fractional-order autonomous nonlinear systems [J].

Ahmad, WM ;

Sprott, JC .

CHAOS SOLITONS & FRACTALS, 2003, 16 (02) :339-351

[3] Chaotic behavior in noninteger-order cellular neural networks [J].

Arena, P ;

Fortuna, L ;

Porto, D .

PHYSICAL REVIEW E, 2000, 61 (01) :776-781

[4] Bifurcation and chaos in noninteger order cellular neural networks [J].

Arena, P ;

Caponetto, R ;

Fortuna, L ;

Porto, D .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07) :1527-1539

[5]

ARENA P, 1997, P ECCTD BUD, P1259

[6] FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES [J].

BAGLEY, RL ;

CALICO, RA .

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) :304-311

[7] 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

[8] FRACTAL SYSTEM AS REPRESENTED BY SINGULARITY FUNCTION [J].

CHAREF, A ;

SUN, HH ;

TSAO, YY ;

ONARAL, B .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) :1465-1470

[9]

CHEN G, 1997, CONTROL SYNCHRONIZAT

[10] Chaotic dynamics of the fractional Lorenz system [J].

Grigorenko, I ;

Grigorenko, E .

PHYSICAL REVIEW LETTERS, 2003, 91 (03)