A Collective Motion Algorithm for Tracking Time-Dependent Boundaries

Details A Collective Motion Algorithm for Tracking Time-Dependent Boundaries A Collective Motion Algorithm for Tracking Time-Dependent Boundaries

2005-10-07

arxiv.org/abs/nlin/0510012v1

Mathematics and Computers in Simulation, 70 (2005) 187-202

Nonlinear Sciences

Pattern Formation and Solitons

23 pages, 11 figures. Mathematics and Computers in Simulation, in press

Scientific paper

10.1016/j.matcom.2005.07.001

We present a numerical method that allows a formation of communicating agents to target the boundary of a time dependent concentration by following a time dependent concentration gradient. The algorithm motivated by \cite{MB, BKM}, allows the agents to move in space in a non-stationary environment. Our method is applicable to finding the boundary of any regular surface and may be of interest for for studying motions of swarms in biology, as well as to engineering applications where boundary detection is an issue.

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