植绒(纹理)
非线性系统
奇点
计算机科学
集体行为
统计物理学
非线性模型
应用数学
物理
数学
数学分析
人类学
量子力学
社会学
作者
Junhyeok Byeon,Seung‐Yeal Ha,Jeongho Kim
出处
期刊:Kinetic and Related Models
[American Institute of Mathematical Sciences]
日期:2023-01-01
卷期号:16 (3): 423-457
摘要
We propose a general nonlinear consensus model and study its asymptotic behaviors. The proposed consensus model is motivated by the one-dimensional relativistic Cucker-Smale (RCS) model which corresponds to the relativistic counterpart of the Cucker-Smale (CS) flocking model. Depending on the regularity and singularity of communication weight at the origin and far-field, we provide diverse clustering patterns for the collective behaviors of the proposed model. We also study the structural stability of the proposed model with respect to coupling function.
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