Spatial models of bistability in biological collectives

Derek A. Paley; Naomi Ehrich Leonard; Rodolphe Sepulchre; Iain D. Couzin

doi:10.1109/CDC.2007.4434523

Spatial models of bistability in biological collectives

Derek A. Paley, Naomi Ehrich Leonard, Rodolphe Sepulchre, Iain D. Couzin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Scopus citations

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.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages	4851-4856
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2007.4434523
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2007.4434523

Cite this

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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",

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language = "English (US)",

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series = "Proceedings of the IEEE Conference on Decision and Control",

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booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Paley, DA, Leonard, NE, Sepulchre, R & Couzin, ID 2007, Spatial models of bistability in biological collectives. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434523, Proceedings of the IEEE Conference on Decision and Control, pp. 4851-4856, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434523

Spatial models of bistability in biological collectives. / Paley, Derek A.; Leonard, Naomi Ehrich; Sepulchre, Rodolphe; Couzin, Iain D.

Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 4851-4856 4434523 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

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DO - 10.1109/CDC.2007.4434523

M3 - Conference contribution

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SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

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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 -

Spatial models of bistability in biological collectives

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