Projective synchronization in drive-response dynamical networks

被引:56
作者
Hu, Manfeng [1 ]
Yang, Yongqing
Xu, Zhenyuan
Zhang, Rong
Guo, Liuxiao
机构
[1] So Yangtze Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] So Yangtze Univ, Sch Informat Technol, Wuxi 214122, Peoples R China
基金
美国国家科学基金会;
关键词
drive-response dynamical networks (DRDNs); projective synchronization; pinning control;
D O I
10.1016/j.physa.2007.03.023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Projective synchronization (characterized by a scaling factor a) and its control have recently been well investigated in two coupled chaotic oscillators, but it has not been realized yet in the case of more than two chaotic systems. In this paper, we study the projective synchronization in 1 + N coupled chaotic systems by introducing a drive-response dynamical networks model. Furthermore, pinning control techniques are also adopted to direct the scaling factor onto the desired value. It is also shown that the projection synchronization of the drive-response dynamical networks can be realized by controlling only one node. Numerical simulations on the chaotic Lorenz system are illustrated to verify the theoretical results. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:457 / 466
页数:10
相关论文
共 38 条
[1]   Synchronization in small-world systems [J].
Barahona, M ;
Pecora, LM .
PHYSICAL REVIEW LETTERS, 2002, 89 (05) :054101/1-054101/4
[2]   The control of chaos: theory and applications [J].
Boccaletti, S ;
Grebogi, C ;
Lai, YC ;
Mancini, H ;
Maza, D .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (03) :103-197
[3]   Synchronization in dynamical networks: Evolution along commutative graphs [J].
Boccaletti, S. ;
Hwang, D. -U. ;
Chavez, M. ;
Amann, A. ;
Kurths, J. ;
Pecora, L. M. .
PHYSICAL REVIEW E, 2006, 74 (01)
[4]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[5]   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
[6]   Synchronization is enhanced in weighted complex networks [J].
Chavez, M ;
Hwang, DU ;
Amann, A ;
Hentschel, HGE ;
Boccaletti, S .
PHYSICAL REVIEW LETTERS, 2005, 94 (21)
[7]   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
[8]  
Chen G., 2003, DYNAMICS LORENZ SYST
[9]   Projective synchronization in time-delayed chaotic systems [J].
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China .
Chin. Phys. Lett., 2006, 6 (1418-1421) :1418-1421
[10]   Pinning control of spatiotemporal chaos [J].
Grigoriev, RO ;
Cross, MC ;
Schuster, HG .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2795-2798