[1]甘婷婷,吴召艳*.带脉冲影响2层网络的同步[J].江西师范大学学报(自然科学版),2021,(04):362-365.[doi:10.16357/j.cnki.issn1000-5862.2021.04.07]
 GAN Tingting,WU Zhaoyan*.The Synchronization of Two-Layer Dynamical Network with Impulsive Effect[J].Journal of Jiangxi Normal University:Natural Science Edition,2021,(04):362-365.[doi:10.16357/j.cnki.issn1000-5862.2021.04.07]
点击复制

带脉冲影响2层网络的同步()
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:
2021年04期
页码:
362-365
栏目:
数学与应用数学
出版日期:
2021-08-10

文章信息/Info

Title:
The Synchronization of Two-Layer Dynamical Network with Impulsive Effect
文章编号:
1000-5862(2021)04-0362-04
作者:
甘婷婷吴召艳*
江西师范大学数学与统计学院,江西 南昌 330022
Author(s):
GAN TingtingWU Zhaoyan*
School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
2层网络 脉冲影响 同步
Keywords:
two-layer network impulsive effect synchronization
分类号:
O 231.5
DOI:
10.16357/j.cnki.issn1000-5862.2021.04.07
文献标志码:
A
摘要:
该文考虑带脉冲影响2层网络的同步问题.首先,根据Lyapunov函数方法和脉冲微分方程理论,给出该网络的同步准则; 然后,根据该准则实现同步需要的脉冲增益和脉冲间隔可以被估算出; 最后,通过数值例子验证所得结果的有效性和正确性.
Abstract:
The synchronization of two-layer network with impulsive effect is considered.According to Lyapunov function and impulsive differential equation theory,the synchronization criteria are derived.From these criteria,the impulsive gains and intervals can be easily estimated.Finally,the effectiveness and correctness of the obtained results are verified by a numerical example.

参考文献/References:

[1] Boccaletti S,Latora V,Moreno Y,et al.Complex networks:structure and dynamics [J].Physical Reports,2006,424:175-308.
[2] Arenas A,Daz-Guilera A,Kurths J,et al.Synchronization in complex networks [J].Physical Reports,2008,469:93-153.
[3] Li Kezhan,Zhang Haifeng,Zhu Guanghu,et al.Suboptimal control and targeted constant control for semi-random epidemic networks [J].IEEE Transactions on Systems,Man,and Cybernetics:Systems,2021,51(4):2602-2610.
[4] Li Kezan,Yu Wenwu,Ding Yong.Successive lag synchronization on nonlinear dynamical networks via linear feedback control [J].Nonlinear Dynamics,2015,80(1/2):421-430.
[5] 严佳烨,周嘉颖,吴召艳.离散时滞动力学网络的拓扑辨识 [J].江西师范大学学报:自然科学版,2019,43(1):39-43.
[6] 彭雅丽,杨雨鑫,曾欣怡,等.一种构建波动模态组的复杂网络分析方法研究 [J].江西师范大学学报:自然科学版,2019,43(3):298-308.
[7] 陈淑芳,吴庆初.网络上局部行为反应对爆发阈值的影响 [J].江西师范大学学报:自然科学版,2015,41(5):531-535.
[8] 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,2013,39(4):428-431.
[9] Kivela M,Arenas A,Barthelemy M,et al.Multilayer networks [J].Journal of Complex Networks,2014,2:203-271.
[10] Boccaletti S,Bianconi G,Criado R,et al.The structure and dynamics of multilayer networks [J].Physical Reports,2014,544:1-122.
[11] Sevilla-Escoboza R,Sendina-Nadal I,Leyva I,et al.Inter-layer synchronization in multiplex networks of identical layers [J].Chaos,2016,26:65304.
[12] Leyva I,Sevilla-Escoboza R,Sendina-Nadal I,et al.Inter-layer synchronization in nonidentical multi-layer networks [J].Scientific Reports,2017(7):45475.
[13] Gambuzza L V,Frasca M,Gomez-Gardenes J.Intra-layer synchronization in multiplex networks [J].Europhysics Letters,2014,110(2):20010.
[14] Shen Jie,Tang Longkun.Intra-layer synchronization in duplex networks [J].Chinese Physics:B,2018,27:100503.
[15] Tang Longkun,Lu Junan,Lu Jinhu.A threshold effect of coupling delays on intra-layer synchronization in duplex networks [J].Science China:Technological Sciences,2018,61:1907-1914.
[16] Yu Wenwu,Chen Guanrong,Lu Jinhu.On pinning synchronization of complex dynamical networks [J].Automatica,2009,45:429-435.

备注/Memo

备注/Memo:
收稿日期:2020-07-24
基金项目:国家自然科学基金(61463022,61963019)和江西省杰出青年人才计划(20171BCB23031)资助项目.
通信作者:吴召艳(1979—),男,江苏徐州人,教授,博士,博士生导师,主要从事复杂网络的建模、分析与控制研究.E-mail:zhywu@jxnu.edu.cn
更新日期/Last Update: 2021-08-10