【摘要】 符号网络是连边具有正负关系的网络,对系统功能产生重要影响。模拟得出负边比例与平衡结构比例之间的关系,基于点和边建立舆论动力学演化模型,利用计算机数值模拟研究演化和极限行为,发现负边比例的增加能够扩大网络周期变化的范围,最终会影响系统的趋同性;在耦合演化过程中,引入概率及时间尺度后会产生更加丰富的变化模式,并且完全平衡网络能加速系统在演化中达到稳态的弛豫过程,并能最终根据节点状态划分为两个社团。更多还原

【Abstract】 The signed network is a network with both of positive and negative attributes on the edges,and has important effects on the function of the system.By changing the proportion of negative edges in the network,the relationship between the ratio of negative edges and the proportion of balanced structures is obtained.Subsequently,a dynamic evolution model based on nodes and edges was established in the signed network.Then its dynamics and final steady states are investigated by computer simulation.It is found that the increase in the proportion of negative edges can expand the scope of changing nodes,and at the same time it will affect the evolution behaviour.In the coupling evolution of edges and states,adding the adjustment probability of the interaction and the influence of the time scale,it will produce a richer cycle change pattern.During the research process,we found a method to construct a fully-balanced network,and found that it can accelerate the system to reach a steady state during the evolution,and can finally divide the network into two communities.更多还原