Synchronization of weighted complex networks with multi-links and nonlinear coupling
Bian Qiu-Xiang, Hongxing Yao · Acta Physica Sinica · 2010
摘要 研究了一类具有非线性耦合的多重边赋权复杂网络,基于网络拆分思想并运用Lyapunov稳定性理论给出了网络的同步准则,数值仿真验证了结论的有效性. 关键词: 非线性耦合 / 网络拆分 / 时滞 / 同步 Abstract In this paper, we study a class of weighted complex networks with multi-links and nonlinear coupling. Based on a method of network split, network synchronization criteria are deduced by using Lyapunov stability theory. Numerical simulation verify the validity of the conclusions. Keywords: nonlinear coupling / network split / delayed / synchronization 作者及机构信息 卞秋香2, 姚洪兴1 (1)江苏大学理学院,镇江 212013; (2)江苏大学理学院,镇江 212013;江苏科技大学数理学院,镇江 212003 基金项目: 国家自然科学基金(批准号:70871056)资助的课题. Authors and contacts Bian Qiu-Xiang2, Yao Hong-Xing1 (1)江苏大学理学院,镇江 212013; (2)江苏大学理学院,镇江 212013;江苏科技大学数理学院,镇江 212003 参考文献 [1] [1]Wu C W 2005 IEEE Trans. Circuits Syst. II 52 282 [2] [2]Zhou C S, Motter A E, Kurths J 2006 Phys. Rev. Lett. 96 034101 [3] [3]Cao J D, Li P, Wang W W 2006 Phys. Lett. A 353 318 [4] [4]Zou Y L, Zhu J, Chen G R 2006 Phys. Rev. E 74 046107 [5] [5]Wang W W, Cao J D 2006 Physica A 366 197 [6] [6]Wang X G, Lai Y C, Lai C H 2007 Phys. Rev. E 75 056205 [7] [7]Hua C C, Wang Q G, Guan X P 2007 Phys. Lett. A 368 281 [8] [8]Luo Q, Wu W, Li L X, Yang Y X, Peng H P 2008 Acta Phys. Sin. 57 1529 (in Chinese) [罗群、吴薇、李丽香、杨义先、彭海朋 2008 物理学报 57 1529] [9] [9]Gao Y, Li L X, Peng H P, Yang Y X , Zhang X H 2008 Acta Phys. Sin. 57 2081(in Chinese) [高洋、李丽香、彭海朋、杨义先、张小红 2008 物理学报 57 2081] [10] ]He G M, Yang J Y 2008 Chaos Soliton. Fract. 38 1254 [11] ]Wang Q Y, Duan Z S, Chen G R, Feng Z S 2008 Physica A 387 5616 [12] ]Cai S M, Zhou J, Xiang L, Liu Z R 2008 Phys. Lett. A 372 4990 [13] ]Sorrentino F, Ott E 2008 Phys. Rev. Lett. 100 114101 [14] ]Yu W W, Cao J D, Lü J H 2008 SIAM J. Appl. Dyn. Syst. 7 108 [15] ]Shang Y, Chen M Y, Kurths J 2009 Phys. Rev. E 80 027201 [16] ]Zhang Z, Fu Z Q,Yan G 2009 Chin. Phys. B 18 2209 [17] ]Liu T, Zhao J, Hill D J 2009 Chaos Soliton. Fract. 40 1506 [18] ]Hao B B, Yu H, Jing Y W, Zhang S Y 2009 Physica A 388 1939 [19] ]Lü L, Zhang C, 2009 Acta Phys. Sin. 58 1462 (in Chinese) [吕翎、张超 2009 物理学报 58 1462] [20] ]Wei D Q, Luo X S, Qin Y H 2009 Chin. Phys. B 18 2184 [21] ]Chen G R, Zhou J, Liu Z R 2004 Int. J. Bifur. Chaos 14 2229 [22] ]Li P, Cao J D, Wang Z D 2007 Physica A 373 261 施引文献