Fast-slow dynamics of planar particle models for flocking and swarming

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Ha, Seung-Yeal¹  Jung, Sungeun¹  Slemrod, Marshall² 

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Univ Wisconsin Madison, Dept Math, Madison, WI 53706 USA

关键词: Cucker-Smale system;    Fast-slow dynamics;    Flocking;    Swarming;    Rayleigh friction;   

DOI  :  10.1016/j.jde.2011.09.014

来源: Elsevier

【 摘 要 】

We discuss fast-slow dynamics of planar particle models appearing in the modeling of flocking and swarming phenomena. We employ Artstein-Kevrekidis-Slemrod-Titi's unified approach for the singular perturbation to derive a qualitative description of the dynamics in the singular limit. Our analysis employs minimal assumptions on the communication weight. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free