A Collective Motion Algorithm for Tracking Time-Dependent Boundaries

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dc.creatorTriandaf, Ioana
dc.creatorSchwartz, Ira B.
dc.date2005-10-07
dc.date.accessioned2026-07-07T06:48:11Z
dc.date.available2026-07-07T06:48:11Z
dc.descriptionWe 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.
dc.description23 pages, 11 figures. Mathematics and Computers in Simulation, in press
dc.identifierhttps://arxiv.org/abs/nlin/0510012
dc.identifierhttp://arxiv.org/abs/nlin/0510012
dc.identifierMathematics and Computers in Simulation, 70 (2005) 187-202
dc.identifierdoi:10.1016/j.matcom.2005.07.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103900
dc.subjectPattern Formation and Solitons
dc.subjectAdaptation and Self-Organizing Systems
dc.titleA Collective Motion Algorithm for Tracking Time-Dependent Boundaries
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