Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

被引:1
作者
Zhang, Baojie [1 ,2 ]
Li, Hongxing [1 ]
机构
[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
[2] Qujing Normal Univ, Sch Math & Informat Sci, Qujing 655011, Peoples R China
基金
中国国家自然科学基金;
关键词
CHAOTIC SYSTEMS; LORENZ SYSTEM;
D O I
10.1155/2014/549201
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.
引用
收藏
页数:10
相关论文
共 18 条
[1]   Antiphase synchronism in chaotic systems [J].
Cao, LY ;
Lai, YC .
PHYSICAL REVIEW E, 1998, 58 (01) :382-386
[2]   Generating hyperchaotic Lu attractor via state feedback control [J].
Chen, AM ;
Lu, JN ;
Lü, JH ;
Yu, SM .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 :103-110
[3]   Function projective synchronization between two identical chaotic systems [J].
Chen, Yong ;
Li, Xin .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (05) :883-888
[4]   Function projective synchronization of different chaotic systems with uncertain parameters [J].
Du, Hongyue ;
Zeng, Qingshuang ;
Wang, Changhong .
PHYSICS LETTERS A, 2008, 372 (33) :5402-5410
[5]   Modified function projective synchronization of chaotic system [J].
Du, Hongyue ;
Zeng, Qingshuang ;
Wang, Changhong .
CHAOS SOLITONS & FRACTALS, 2009, 42 (04) :2399-2404
[6]   Robust adaptive modified function projective synchronization of different hyperchaotic systems subject to external disturbance [J].
Fu, Guiyuan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) :2602-2608
[7]   Projective synchronization of a new hyperchaotic Lorenz system [J].
Jia, Qiang .
PHYSICS LETTERS A, 2007, 370 (01) :40-45
[8]   Modified projective synchronization of chaotic system [J].
Li, Guo-Hui .
CHAOS SOLITONS & FRACTALS, 2007, 32 (05) :1786-1790
[9]   Modified function projective synchronization of a class of chaotic systems [J].
Li Jian-Fen ;
Li Nong .
ACTA PHYSICA SINICA, 2011, 60 (08)
[10]   Adaptive control and synchronization of Lorenz systems [J].
Liao, TL ;
Lin, SH .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (06) :925-937