植绒(纹理)
网络拓扑
羊群
数学
数学证明
人口
指数
离散数学
组合数学
计算机科学
物理
生物
几何学
生态学
操作系统
哲学
社会学
人口学
量子力学
语言学
作者
Felipe Cucker,Jiu-Gang Dong
出处
期刊:Siam Journal on Applied Mathematics
[Society for Industrial and Applied Mathematics]
日期:2019-01-01
卷期号:79 (1): 95-110
被引量:16
摘要
We prove unconditional and conditional flocking results for a Cucker--Smale flocking model enhanced with switching topologies. These topologies can be arbitrary; in particular, they are not necessarily symmetric. Our proofs hold for both discrete and continuous time. In both cases, the critical exponent discriminating between unconditional and conditional flocking is shown to be at most $\frac{1}{2(k-1)}$, where $k$ is the number of agents in the population.
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