Projective synchronization in a unified chaotic system and its control

被引:41
作者
Liu, J [1 ]
Chen, SH
Lu, JA
机构
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Xianning Coll, Dept Math, Xianning 437005, Peoples R China
关键词
unified chaotic system; projective synchronization; chaos control; unidirectional-couple;
D O I
10.7498/aps.52.1595
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Projective synchronization phenomenon in unidirectionally coupled unified systems is studied. A scheme is proposed to control the scaling factor formed in the projective synchronization. Under the control strategy, one can arbitrarily manipulate the scaling factor to a desired value. This special phenomenon and the control scheme can be used in some secure communication schemes. Illustrations are also given to show the rightness of the theoretical analysis and the effectiveness of the method proposed.
引用
收藏
页码:1595 / 1599
页数:5
相关论文
共 16 条
[1]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[2]   Tracking control and synchronization of chaotic systems based upon sampled-data feedback [J].
Chen, SH ;
Liu, J ;
Xie, J ;
Lu, JA .
CHINESE PHYSICS, 2002, 11 (03) :233-237
[3]   Synchronizing chaotic systems in strict-feedback form using a single controller [J].
Chen, SH ;
Jie, L ;
Feng, JW ;
Lü, JH .
CHINESE PHYSICS LETTERS, 2002, 19 (09) :1257-1259
[4]   Tracking control and synchronization of the Rossler's chaotic system [J].
Chen, SH ;
Xie, J ;
Lu, JA ;
Liu, J .
ACTA PHYSICA SINICA, 2002, 51 (04) :749-752
[5]   The adaptive control of Chen's chaotic system [J].
Guan, XP ;
Fan, ZP ;
Peng, HP ;
Wang, YQ .
ACTA PHYSICA SINICA, 2001, 50 (11) :2108-2111
[6]   Stability criterion for projective synchronization in three-dimensional chaotic systems [J].
Li, ZG ;
Xu, DL .
PHYSICS LETTERS A, 2001, 282 (03) :175-179
[7]   Parameter identification and tracking of a unified system [J].
Lu, JA ;
Tao, CH ;
Lü, JH ;
Min, L .
CHINESE PHYSICS LETTERS, 2002, 19 (05) :632-635
[8]   Controlling the Chen attractor using linear feedback based on parameter identification [J].
Lü, JH ;
Zhou, TS ;
Zhang, SC .
CHINESE PHYSICS, 2002, 11 (01) :12-16
[9]   Projective synchronization in three-dimensional chaotic systems [J].
Mainieri, R ;
Rehacek, J .
PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3042-3045
[10]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824