外场和惯性双重影响下的无标度网络上舆论传播动力学

外场和惯性双重影响下的无标度网络上舆论传播动力学 Public Opinion Evolution Dynamics on Scale Free Network in the External Field and Node’s Inertia 李小刚 LI Xiaogang1 1 first-author 何敏华 HE Minhua1 1 方频捷 FANG Pinjie2 2 王海艳 WANG Haiyan2 2 武汉工程大学理学院 武汉工程大学理学院 School of Science,Wuhan Institute of Technology School of Science,Wuhan Institute of Technology 华中科技大学物理学院 华中科技大学物理学院 School of Physics,Huazhong University of Science and Technology School of Physics,Huazhong University of Science and Technology 本文在考虑恒定外场φ0和节点惯性eγkh的影响下,提出了网络结构和舆论演化相互适应的舆论演化模型.研究发现,在外场和节点惯性作用下,系统中的度分布经过时间演化后逐渐偏离典型的幂率分布;同时随着时间的演化,舆论分布会出现明显的趋同现象,这种现象的产生不仅与外场本身的强度有关,而且还取决于该节点本身惯性因子;研究还表明通过调节惯性因子和外场大小可以控制舆论总数的变化,甚至于还可以控制变化的快慢. In the paper,considering the influence of node’s inertia and a constant external field,we establish a public opinion evolution model in which public opinion evolution and network topological structure interact with each other.Under the influence of node’s inertia and a constant external field,it is found that degree distribution gradually gets away from typical power law distribution with time evolution.At the same time,there is obvious convergence effect of the public opinions distribution,which not only relates with node’s inertia but also depends on the constant external field,and adjusting the value of node’s inertia factor γ and constant external field φ0 not only can control the opinion value’s number but also can control its change rate. 无标度网络 舆论演化 外场 惯性 scale-free network public opinion evolution external field inertia 10.14188/j.1671-8836.2010.06.001 O157.5 国家自然科学基金资助项目（10675048,50872038）;华中科技大学社会信息科学研究中心资助项目 2010-06-01 2021-04-01 6 56