A Collective Motion Algorithm for Tracking Time-Dependent Boundaries

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

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Pattern Formation and Solitons, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/103900

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0510012
 http://arxiv.org/abs/nlin/0510012
 Mathematics and Computers in Simulation, 70 (2005) 187-202
 doi:10.1016/j.matcom.2005.07.001

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arXiv