发表机构
Warsaw University of Technology（华沙理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究了多重网络上二元意见模型中，不同层动力学参数与部分节点重叠结构之间的互换性，提出通用框架识别临界线，并证明较大重叠度即可实现良好对应。
AI 中文摘要
我们研究了两种具有意见动力学的双层系统之间的互换性：一种是在每层具有不同的动力学参数$a_1$和$a_2$且节点完全重叠，另一种是在两层上具有相同参数$a_1$但仅部分节点重叠$r$。我们引入了一个通用框架来识别有序相和无序相之间的临界线，从而将一个系统转换为另一个系统。该描述得到了几个意见动力学模型示例的支持，以及在这两种设置中速率方程稳态解之间距离的严格度量。我们的结果表明，即使$r$值很大，也足以在两种设置之间获得非常好的对应关系。
英文摘要
We examine the interchangeability between two duplex systems with opinion dynamics: one characterized by different dynamics parameters $a_1$ and $a_2$ on each layer and full node overlap, and the second with the same parameter $a_1$ on both layers but only partial node overlap $r$. We introduce a general framework for identifying the critical line between the ordered and disordered phases, thereby translating one system into another. The description is supported by several examples of opinion dynamics models and a rigorous measure of the distance between the stationary solutions of the rate equations in both settings. Our results show that even large values of $r$ are sufficient to obtain very good correspondence between the two settings.
Comments6 pages, 4 figures
