Article ID Journal Published Year Pages File Type
4611867 Journal of Differential Equations 2012 17 Pages PDF
Abstract

We discuss fast–slow dynamics of planar particle models appearing in the modeling of flocking and swarming phenomena. We employ Artstein–Kevrekidis–Slemrod–Titiʼs 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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis