论文标题
符号随机网络上的阈值级联动力学
Threshold cascade dynamics on signed random networks
论文作者
论文摘要
社交网络中的个体,生物系统中的基因和磁系统中的旋转之间的关系通常反映出正面(友好)和负(拮抗)相互作用的混合物。但是,大多数复杂网络的研究都集中在一个仅由积极相互作用组成的网络上。在这里,我们研究了由正面和负连接组成的签名网络上的阈值级联,重点是何时只能彼此仅激活由负面链接连接的一对节点。我们发现,负相互作用不仅抑制了全局级联反应,而且还诱导了从单节点到网络级别表现的激活模式中的异质性。我们的结果表明,负相互作用可能是级联动力学变异性的重要来源。
Relationships between individuals in a social network, genes in biological systems, and spins in magnetic systems often reflect a mixture of positive (friendly) and negative (antagonistic) interactions. However, most studies of complex networks have focused on networks consisting of solely positive interactions. Here, we study threshold cascades on signed networks composed of both positive and negative connections, focusing on when a pair of nodes connected by a negative link can only be activated exclusively to each other. We found that the negative interactions not only suppress global cascades, but also induce the heterogeneity in activation patterns manifesting from single-node to network levels. Our results suggest that negative interactions may be an important source of the variability in cascading dynamics.