General synchronization of Genesio-Tesi systems

被引:27
作者
Chen, MY
Han, ZZ
Shang, Y
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Intelligent Engn Lab, Shanghai 200030, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 01期
关键词
chaos; general synchronization; iteration transformation;
D O I
10.1142/S0218127404009077
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we develop a new approach to generally synchronize Genesio-Tesi systems. A suitable scalar signal of the master, Genesio-Tesi system, is transmitted to the slaver, which is derived from an iteration transformation of a Genesio-Tesi system. If a parameter is chosen properly, the stability of synchronization manifold becomes Hurwitz stability. Numerical simulation verifies the effectiveness of this method.
引用
收藏
页码:347 / 354
页数:8
相关论文
共 21 条
[1]   Generalized synchronization of chaos: The auxiliary system approach [J].
Abarbanel, HDI ;
Rulkov, NF ;
Sushchik, MM .
PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535
[2]   An iteration method for chaotifying and controlling dynamical systems [J].
Chen, MY ;
Han, ZZ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1173-1180
[3]  
Driver R.D., 1977, ORDINARY DELAY DIFFE
[4]   On the chaos synchronization phenomena [J].
Femat, R ;
Solís-Perales, G .
PHYSICS LETTERS A, 1999, 262 (01) :50-60
[5]   Adaptive synchronization of high-order chaotic systems:: a feedback with low-order parametrization [J].
Femat, R ;
Alvarez-Ramírez, J ;
Fernández-Anaya, G .
PHYSICA D, 2000, 139 (3-4) :231-246
[6]   HARMONIC-BALANCE METHODS FOR THE ANALYSIS OF CHAOTIC DYNAMICS IN NONLINEAR-SYSTEMS [J].
GENESIO, R ;
TESI, A .
AUTOMATICA, 1992, 28 (03) :531-548
[7]   On the structure of the solutions of a two-parameter family of three-dimensional ordinary differential equations [J].
Impram, ST ;
Johnson, R ;
Pavani, R .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (05) :1287-1298
[8]   Adaptive synchronization design for chaotic systems via a scalar driving signal [J].
Lian, KY ;
Liu, P ;
Chiang, TS ;
Chiu, CS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (01) :17-27
[9]   An observer-based approach for chaotic synchronization with applications to secure communications [J].
Liao, TL ;
Huang, NS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (09) :1144-1150
[10]   Adaptive synchronization of chaotic systems and its application to secure communications [J].
Liao, TL ;
Tsai, SH .
CHAOS SOLITONS & FRACTALS, 2000, 11 (09) :1387-1396