西华大学学报（自然科学版）2024，Vol.43Issue(5)：74-80,7.DOI:10.12198/j.issn.1673-159X.5201
两类加权哑铃网络的一致性分析
Consensus Analysis of Two Types of Weighted Dumbbell Networks
摘要
Abstract
The consensus of networks is an important branch of complex network science,and its re-search results can provide the theoretical basis for understanding the dynamic behavior of networks.The network topology has a significant impact on the robustness of network consensus.This article first assigns edge weights based on the classic dumbbell network model and establishes the weighted network model that is suitable for practical applications.Secondly,the specific analytical formulas of the first-order and second-order consistency indicators of the weighted network are derived by combining the theories of network con-sensus and graph theory.Furthermore,MATLAB software is used to numerically simulate the dependence of the consistency indicators of two types of dumbbell networks on network size and coupling strength.Fi-nally,it is found that the increase in coupling strength leads to the increase in network consensus,and the dumbbell network with fully connected nodes has better robustness of first-order and second-order coher-ence.关键词
复杂网络/哑铃网络/加权/一致性/鲁棒性Key words
complex network/dumbbell network/weighted network/consensus/robustness分类
计算机与自动化引用本文复制引用
朱剑,李显勇,朱峰刚,高海平,杨学海,鲁晓艺..两类加权哑铃网络的一致性分析[J].西华大学学报（自然科学版）,2024,43(5):74-80,7.基金项目
国家自然科学基金(61802316) （61802316）
四川省科技计划资助(2022YFG0378) （2022YFG0378）
新疆维吾尔自治区高校基本科研业务费科研项目(XJEDU2022P129、XJEDU2024P080) （XJEDU2022P129、XJEDU2024P080）
国家级大学生创新创业训练项目(202310994015) （202310994015）
新疆维吾尔自治区级大学生创新创业训练项目(S202310994033). （S202310994033）
