Spatial models of bistability in biological collectives

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2007
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Paley, Derek A.
Ehrich Leonard, Naomi
Sepulchre, Rodolphe
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Proceedings of the 46th IEEE Conference on Decision and Control. Piscataway, NJ: IEEE, 2007, pp. 4851-4856. ISBN 978-1-4244-1497-0. Available under: doi: 10.1109/CDC.2007.4434523
Zusammenfassung

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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Fachgebiet (DDC)
570 Biowissenschaften, Biologie
Schlagwörter
Biological system modeling, Biological control systems, Hysteresis, Aerospace engineering, Mathematical model, USA Councils, Biological systems, Switches, Motion analysis, Motion control
Konferenz
46th IEEE Conference on Decision and Control, 12. Dez. 2007 - 14. Dez. 2007, New Orleans, La, USA
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Zitieren
ISO 690PALEY, Derek A., Naomi EHRICH LEONARD, Rodolphe SEPULCHRE, Iain D. COUZIN, 2007. Spatial models of bistability in biological collectives. 46th IEEE Conference on Decision and Control. New Orleans, La, USA, 12. Dez. 2007 - 14. Dez. 2007. In: Proceedings of the 46th IEEE Conference on Decision and Control. Piscataway, NJ: IEEE, 2007, pp. 4851-4856. ISBN 978-1-4244-1497-0. Available under: doi: 10.1109/CDC.2007.4434523
BibTex
@inproceedings{Paley2007-12Spati-39953,
  year={2007},
  doi={10.1109/CDC.2007.4434523},
  title={Spatial models of bistability in biological collectives},
  isbn={978-1-4244-1497-0},
  publisher={IEEE},
  address={Piscataway, NJ},
  booktitle={Proceedings of the 46th IEEE Conference on Decision and Control},
  pages={4851--4856},
  author={Paley, Derek A. and Ehrich Leonard, Naomi and Sepulchre, Rodolphe and Couzin, Iain D.}
}
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