Spatial models of bistability in biological collectives
Paley, D.A.; Leonard, N.E.; Sepulchre, R.; Couzin, I.D.
Decision and Control, 2007 46th IEEE Conference on
Volume , Issue , 12-14 Dec. 2007 Page(s):4851 - 4856
Digital Object Identifier   10.1109/CDC.2007.4434523
Summary: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 self-propelled particles with coupled-oscillator dynamics.

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