Reference : Spatial Models of Bistability in Biological Collectives

	Document type :	Scientific congresses and symposiums : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/2268/78630

Title :	Spatial Models of Bistability in Biological Collectives
Language :	English
Author, co-author :	Paley, Derek [University of Maryland, MD > > > >]
	Leonard, Naomi [Princeton University, Princeton, NJ > > > >]
	Sepulchre, Rodolphe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
	Couzin, Iain D. [Princeton University, Princeton, NJ > > > >]
Publication date :	Dec-2007
Main document title :	Proceedings of the 46th IEEE Conference on Decision and Control
Pages :	4851-4856
On invitation :	Yes
Audience :	International
Event name :	46th IEEE Conference on Decision and Control
Event date :	du 12 au 14 décembre 2007
Event place (city) :	New-Orleans
Event country :	LA
Abstract :	[en] We explore collective behavior in biological systems using a cooperative control framework. In particular, we study a hysteresis phenomenon in which a collective switches from circular to parallel motion under slow variation of the neighborhood size in which individuals tend to align with one another. In the case that the neighborhood radius is less than the circular motion radius, both circular and parallel motion can occur. We provide Lyapunov-based analysis of bistability of circular and parallel motion in a closed-loop system of selfpropelled particles with coupled-oscillator dynamics.
Permalink :	http://hdl.handle.net/2268/78630
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