[1]吴召艳,张平辉.有色边动态网络的同步[J].江西师范大学学报(自然科学版),2013,(04):428-431.
 WU Zhao-yan,ZHANG Ping-hui.Synchronization of Edge-Colored Dynamical Network[J].,2013,(04):428-431.
点击复制

有色边动态网络的同步()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年04期
页码:
428-431
栏目:
出版日期:
2013-09-01

文章信息/Info

Title:
Synchronization of Edge-Colored Dynamical Network
作者:
吴召艳;张平辉
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
WU Zhao-yan;ZHANG Ping-hui
关键词:
同步有色边网络有色边图
Keywords:
synchronizationedge-colored dynamical networkcolored graph
分类号:
O231.5
文献标志码:
A
摘要:
根据数学中有色边图的概念提出有色边网络模型,该模型可以更好地描述和研究由大量相互作用个体构成的大型复杂系统.基于Lyapunov稳定性理论,给出了有色边动态网络渐近同步的充分条件,并给出了数值例子来验证所得的结论.
Abstract:
A class of edge-colored dynamical network models have been proposed according to the colored graph theory in mathematics.This kind of models can better describe and study the large-scale real complex systems coupled with large number of interacting individuals.Based on Lyapunov stability theory,the sufficient condition for the synchronization of edge-colored network is derived.Finally,a numerical example is provided to verify our derived result.

参考文献/References:

[1] Watts D J,Strogatz S H.Collective dynamics of ‘small- world' networks [J].Nature,1998,393(6):440-442.
[2] Girvan M,Newman M E J.Community structure in social and biological networks [J].Proc Natl Acad Sci,USA,2002,99(12):7821-7826.
[3] Yu Wenwu,Chen Guanrong,Lü Jinhu.On pinning synchronization of complex dynamical networks [J].Automatica,2009,45(2):429-435.
[4] Albert R,Jeong H,Barabási A L.Diameter of the world-wide web [J].Nature,1999,401(9):130-131.
[5] Williams R J,Martinez N D.Simple rules yield complex food webs [J].Nature,2000,404(3):180-183.
[6] Hong H,Choi M Y.Synchronization on small-world networks [J].Phys Rev E,2002,65(2):126-139.
[7] Fan Jin,Wang Xiaofan.On synchronization in scale-free dynamical networks [J].Physica A,2005,349(3/4):443-451.
[8] 周天寿,胡长春.三类基因振子和它们的基本动力学 [J].江西师范大学学报:自然科学版,2008,32(1):1-5.
[9] 周天寿.基因表达模型的研究进展:概率分布 [J].江西师范大学学报:自然科学版,2012,36(3):221-229.
[10] 汪小帆,李翔,陈关荣.复杂网络理论及其应用 [M].北京:清华大学出版社,2006.
[11] Chen Guanrong,Wang Xiaofan,Li Xiang.Introduction to complex networks:models,structures and dynamics [M].北京:高等教育出版社,2012.
[12] Wu Zhaoyan,Xu Xinjian,Chen Guanrong,et al.Adaptive synchronization and pinning control of colored networks [J].Chaos,2012,22(4):134-137.

备注/Memo

备注/Memo:
国家自然科学基金专?罨?11226242);江西省自然科学基金(20122BAB211006);江西师范大学青年成长基金(3911)
更新日期/Last Update: 1900-01-01