有向图是不同的：为什么方向性在复杂系统中很重要
Digraphs are different: Why directionality matters in complex systems
摘要：
许多描述复杂系统的网络是有向的：元素之间的相互作用是不对称的。最近的研究表明，这些网络可以显示营养相干性或非正态性等特性，这反过来又会影响稳定性，渗透和其他动力学特征。我在这里表明，这些拓扑性质有一个共同的起源，在有向网络的边缘可以对齐-或不-与一个全球的方向。我说明了这是如何导致丰富的和意想不到的动态行为，即使在最简单的模型。
英文摘要：
Many networks describing complex systems are directed: the interactions between elements are not symmetric. Recent work has shown that these networks can display properties such as trophic coherence or non-normality, which in turn affect stability, percolation and other dynamical features. I show here that these topological properties have a common origin, in that the edges of directed networks can be aligned - or not - with a global direction. And I illustrate how this can lead to rich and unexpected dynamical behaviour even in the simplest of models.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
