基于中心化的非线性舆论演化模型同步分析  

Synchronization of nonlinear opinion evolution with center

作　　者：熊莲花[1,2] 刘业政[1] 李玲菲 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2016年第3期427-432,共6页Journal of Hefei University of Technology：Natural Science

摘　　要：为研究意见领袖对舆论演化的影响,文章构造了具有中心的规则网络结构,借助矩阵理论和非线性系统的Lyapunov稳定性理论,分析了网络的结构、局部的非线性动力学行为、个体之间的不同交互方式对舆论演化的影响,并获得了舆论演化达到同步时各参数之间的解析关系。理论和仿真结果表明:当个体局部的动力系统稳定时,意见领袖的作用主要体现在对同步收敛速度的影响;当个体局部的动力系统稳定性较弱或在某些不稳定区域时,意见领袖比普通人群对网络达到同步的调节能力更强。In order to study the effect of the opinion leader on opinion evolution, the rule network structure with the center is constructed. Several factors that affect the opinion evolution are analyzed, including the network structure, local nonlinear dynamic behavior and different ways of interaction between individuals. Then the synchronous conditions are derived according to the matrix theory and the Lyapunov stability theory. The theoretical and simulation analysis results show that when the individ- ual local nonlinear dynamic system is stable, the opinion leader has effect on the convergence rate of synchronization; but when it is weak or unstable in some area, he has stronger adjustment ability to synchronization than general population.

关 键 词：舆论演化 规则网络 意见领袖 同步 

分 类 号：F830[经济管理—金融学]