Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems

被引:10
作者
Sun, Junwei [1 ]
Guo, Jinchao
Yang, Cunxiang
Zheng, Anping
Zhang, Xuncai
机构
[1] Zhengzhou Univ Light Ind, Sch Elect & Informat Engn, Zhengzhou 450002, Peoples R China
基金
国家教育部博士点专项基金资助; 中国国家自然科学基金;
关键词
Generalized dislocated synchronization; Hybrid function projective; Memristor chaotic oscillator system; Hyperchaotic Lu system; COMBINATION-COMBINATION SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; UNKNOWN-PARAMETERS; CIRCUITS;
D O I
10.1016/j.amc.2014.12.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on projective synchronization and function projective synchronization, a novel generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems is investigated. According to the Lyapunov stability theorem, an adaptive hybrid controller for the synchronization of two different four-dimensional chaotic systems is designed, and some parameter update laws for estimating the unknown parameters of these systems are also gained. The synchronization between memristor chaotic oscillator system and hyperchaotic Lu system with linear scaling functions and periodic scaling functions are discussed to show the effectiveness of the proposed methods. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:304 / 314
页数:11
相关论文
共 38 条
[1]   Chaos synchronization of Lu dynamical system [J].
Agiza, HN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (1-2) :11-20
[2]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[3]   The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems [J].
Chen, Yong ;
An, Hongli ;
Li, Zhibin .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) :96-110
[4]   Function projective synchronization between two identical chaotic systems [J].
Chen, Yong ;
Li, Xin .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (05) :883-888
[5]  
Choon K. A., 2010, NONLINEAR ANAL-HYBRI, V4, p[16, 2010]
[6]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[7]   SYNCHRONIZATION OF LORENZ-BASED CHAOTIC CIRCUITS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV ;
STROGATZ, SH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :626-633
[8]   Modified function projective synchronization of chaotic system [J].
Du, Hongyue ;
Zeng, Qingshuang ;
Wang, Changhong .
CHAOS SOLITONS & FRACTALS, 2009, 42 (04) :2399-2404
[9]   On the chaos synchronization phenomena [J].
Femat, R ;
Solís-Perales, G .
PHYSICS LETTERS A, 1999, 262 (01) :50-60
[10]   Phase synchronization of coupled Ginzburg-Landau equations [J].
Junge, L ;
Parlitz, U .
PHYSICAL REVIEW E, 2000, 62 (01) :438-441