Synchronization in small-world dynamical networks

被引:740
作者
Wang, XF [1 ]
Chen, GR
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 01期
基金
英国工程与自然科学研究理事会; 中国国家自然科学基金;
关键词
D O I
10.1142/S0218127402004292
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate synchronization in a network of continuous-time dynamical systems with small-world connections. The small-world network is obtained by randomly adding a small fraction of connection in an originally nearest-neighbor coupled network. We show that, for any given coupling strength and a sufficiently large number of cells, the small-world dynamical network will synchronize, even if the original nearest-neighbor coupled network cannot achieve synchronization under the same condition.
引用
收藏
页码:187 / 192
页数:6
相关论文
共 12 条
[1]   A UNIVERSAL CIRCUIT FOR STUDYING AND GENERATING CHAOS .1. ROUTES TO CHAOS [J].
CHUA, LO ;
WU, CW ;
HUANG, AS ;
ZHONG, GQ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (10) :732-744
[2]   Synchronization of oscillators with random nonlocal connectivity [J].
Gade, PM .
PHYSICAL REVIEW E, 1996, 54 (01) :64-70
[3]   Synchronous chaos in coupled map lattices with small-world interactions [J].
Gade, PM ;
Hu, CK .
PHYSICAL REVIEW E, 2000, 62 (05) :6409-6413
[4]   SYNCHRONOUS CHAOS IN COUPLED OSCILLATOR-SYSTEMS [J].
HEAGY, JF ;
CARROLL, TL ;
PECORA, LM .
PHYSICAL REVIEW E, 1994, 50 (03) :1874-1885
[5]   Fast response and temporal coherent oscillations in small-world networks [J].
Lago-Fernández, LF ;
Huerta, R ;
Corbacho, F ;
Sigüenza, JA .
PHYSICAL REVIEW LETTERS, 2000, 84 (12) :2758-2761
[6]   Mutual synchronization and clustering in randomly coupled chaotic dynamical networks [J].
Manrubia, SC ;
Mikhailov, AS .
PHYSICAL REVIEW E, 1999, 60 (02) :1579-1589
[7]   Models of the small world [J].
Newman, MEJ .
JOURNAL OF STATISTICAL PHYSICS, 2000, 101 (3-4) :819-841
[8]   Renormalization group analysis of the small-world network model [J].
Newman, MEJ ;
Watts, DJ .
PHYSICS LETTERS A, 1999, 263 (4-6) :341-346
[9]   Scaling and percolation in the small-world network model [J].
Newman, MEJ ;
Watts, DJ .
PHYSICAL REVIEW E, 1999, 60 (06) :7332-7342
[10]  
Watts D. J., 1999, SMALL WORLDS DYNAMIC