Generalized synchronization of spatiotemporal chaos in a weighted complex network

被引：17
作者：
Lue, Ling [1 ]
Li, Chengren [1 ]
机构：
[1] Liaoning Normal Univ, Coll Phys & Elect Technol, Dalian 116029, Peoples R China
来源：
NONLINEAR DYNAMICS | 2011年 / 63卷 / 04期
关键词：
Chaos synchronization; Weighted complex network; Generalized synchronization; Lyapunov stability theory; COUPLED NETWORKS; INTERNET; DYNAMICS;
D O I：
10.1007/s11071-010-9831-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The nodes of the network are composed of the spatiotemporal chaos systems. The relations between the nodes are built through a weighted connection and the nonlinear terms of the chaos systems themselves are taken as coupling functions. The structure of the coupling functions between the connected nodes and the range of the control gain are obtained based on Lyapunov stability theory. It is proven that generalized chaos synchronization of the weight complex network can be realized even if the coupling strength between the nodes is adopted as any weight value. Subsequently, the catalytic reaction diffusion system which has spatiotemporal chaos behavior is taken as example, and simulation results show the effectiveness of the synchronization principle.
引用
收藏
页码：699 / 710
页数：12
相关论文
共 28 条
[1]   Power-Law distribution of the World Wide Web [J].
Adamic, LA ;
Huberman, BA ;
Barabási, AL ;
Albert, R ;
Jeong, H ;
Bianconi, G .
SCIENCE, 2000, 287 (5461)
[2]   Internet -: Diameter of the World-Wide Web [J].
Albert, R ;
Jeong, H ;
Barabási, AL .
NATURE, 1999, 401 (6749) :130-131
[3]   Delays, connection topology, and synchronization of coupled chaotic maps [J].
Atay, FM ;
Jost, J ;
Wende, A .
PHYSICAL REVIEW LETTERS, 2004, 92 (14) :144101-1
[4]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[5]   Weighted evolving networks:: Coupling topology and weight dynamics -: art. no. 228701 [J].
Barrat, A ;
Barthélemy, M ;
Vespignani, A .
PHYSICAL REVIEW LETTERS, 2004, 92 (22) :228701-1
[6]   A harmonious unifying hybrid preferential model and its universal properties for complex dynamical networks [J].
Fang, JinQing ;
Bi, Qiao ;
Li, Yong ;
Lu, XinBiao ;
Liu, Qiang .
SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY, 2007, 50 (03) :379-396
[7]   Synchronization and pattern recognition in a pulse-coupled neural net [J].
Haken, H .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 205 (1-4) :1-6
[8]   The changes on synchronizing ability of coupled networks from ring networks to chain networks [J].
Han XiuPing ;
Lu JunAn .
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2007, 50 (04) :615-624
[9]   Implications of heterogeneous inputs and connectivity on the synchronization in excitable networks [J].
Hennig, D. ;
Schimansky-Geier, L. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (04) :967-981
[10]   Abnormal synchronization in complex clustered networks [J].
Huang, Liang ;
Park, Kwangho ;
Lai, Ying-Cheng ;
Yang, Lei ;
Yang, Kongqing .
PHYSICAL REVIEW LETTERS, 2006, 97 (16)
123