@inproceedings{ec5b5641ec1b47e09b2fb3cfd634031a,
title = "Spatial models of bistability in biological collectives",
abstract = "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.",
author = "Paley, {Derek A.} and Leonard, {Naomi Ehrich} and Rodolphe Sepulchre and Couzin, {Iain D.}",
year = "2007",
doi = "10.1109/CDC.2007.4434523",
language = "English (US)",
isbn = "1424414989",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4851--4856",
booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",
address = "United States",
note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",
}