时滞复杂系统中的结构和功能网络
Structural and functional networks in complex systems with delay
摘要：
复杂系统的功能网络是通过分析其组成部分的时间活动而获得的，并且通常用于推断其未知的底层连接。我们得到了复杂网络中扩散延迟耦合元件系统的拓扑和函数关系方程。我们完全解决由此产生的方程的图案（有向结构的三个节点），并在有向网络。有向不相关网络的平均场解表明，网络活动的聚集性受节点的入度控制，锁定频率随平均度的增加而降低.我们发现结构拓扑的幂律度分布的指数b与相关的泛函网络的指数a =1/（2-b）相关，其中b < 2.
英文摘要：
Functional networks of complex systems are obtained from the analysis of the temporal activity of their components, and are often used to infer their unknown underlying connectivity. We obtain the equations relating topology and function in a system of diffusively delay-coupled elements in complex networks. We solve exactly the resulting equations in motifs (directed structures of three nodes), and in directed networks. The mean-field solution for directed uncorrelated networks shows that the clusterization of the activity is dominated by the in-degree of the nodes, and that the locking frequency decreases with increasing average degree. We find that the exponent of a power law degree distribution of the structural topology, b, is related to the exponent of the associated functional network as a =1/(2-b), for b < 2.
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。
