TY - GEN
T1 - Spatial models of bistability in biological collectives
AU - Paley, Derek A.
AU - Leonard, Naomi Ehrich
AU - Sepulchre, Rodolphe
AU - Couzin, Iain D.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=62749137128&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62749137128&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434523
DO - 10.1109/CDC.2007.4434523
M3 - Conference contribution
AN - SCOPUS:62749137128
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4851
EP - 4856
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -