English

Group Chase and Escape

Adaptation and Self-Organizing Systems 2015-03-13 v2 Statistical Mechanics Physics and Society

Abstract

We describe here a new concept of one group chasing another, called "group chase and escape", by presenting a simple model. We will show that even a simple model can demonstrate rather rich and complex behavior. In particular, there are cases in which an optimal number of chasers exists for a given number of escapees (or targets) to minimize the cost of catching all targets. We have also found an indication of self-organized spatial structures formed by both groups.

Keywords

Cite

@article{arxiv.0912.4327,
  title  = {Group Chase and Escape},
  author = {Atsushi Kamimura and Toru Ohira},
  journal= {arXiv preprint arXiv:0912.4327},
  year   = {2015}
}

Comments

13 pages, 12 figures, accepted and to appear in New Journal of Physics

R2 v1 2026-06-21T14:27:07.262Z