Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611867 | Journal of Differential Equations | 2012 | 17 Pages |
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