Complete synchronization and stability of star-shaped complex networks

被引:38
作者
Gu, YQ
Shao, C
Fu, XC [1 ]
机构
[1] Zhejiang Normal Univ, Coll Math & Phys, Jinhua 321004, Zhejiang, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
关键词
D O I
10.1016/j.chaos.2005.07.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The synchronization of the tar-shaped networks are investigated using linear stability analysis. Three different cases of simple-center node or multi-center nodes with Logistic map couplings are discussed and the stability conditions for synchronization are given. The main results are illustrated via a network of eight nodes with four centers. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:480 / 488
页数:9
相关论文
共 18 条
[1]   STABILITY OF PERIODIC-ORBITS OF COUPLED-MAP LATTICES [J].
AMRITKAR, RE ;
GADE, PM ;
GANGAL, AD ;
NANDKUMARAN, VM .
PHYSICAL REVIEW A, 1991, 44 (06) :R3407-R3410
[2]   Synchronization in small-world systems [J].
Barahona, M ;
Pecora, LM .
PHYSICAL REVIEW LETTERS, 2002, 89 (05) :054101/1-054101/4
[3]   Exponential synchronization of a class of chaotic neural networks [J].
Cheng, CJ ;
Liao, TL ;
Hwang, CC .
CHAOS SOLITONS & FRACTALS, 2005, 24 (01) :197-206
[4]   STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47
[5]   Synchronization of oscillators with random nonlocal connectivity [J].
Gade, PM .
PHYSICAL REVIEW E, 1996, 54 (01) :64-70
[6]   Synchronous chaos in coupled map lattices with small-world interactions [J].
Gade, PM ;
Hu, CK .
PHYSICAL REVIEW E, 2000, 62 (05) :6409-6413
[7]   Synchronization on small-world networks [J].
Hong, H ;
Choi, MY ;
Kim, BJ .
PHYSICAL REVIEW E, 2002, 65 (02) :1-026139
[8]   Instability and controllability of linearly coupled oscillators: Eigenvalue analysis [J].
Hu, G ;
Yang, JZ ;
Liu, WJ .
PHYSICAL REVIEW E, 1998, 58 (04) :4440-4453
[9]  
JALAN S, CD0307029
[10]   Spectral properties and synchronization in coupled map lattices [J].
Jost, J ;
Joy, MP .
PHYSICAL REVIEW E, 2002, 65 (01)