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 | |
| 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 | 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
Fingerprint Dive into the research topics of 'Spatial models of bistability in biological collectives'. Together they form a unique fingerprint.
Cite this
Paley, D. A., Leonard, N. E., Sepulchre, R., & Couzin, I. D. (2007). Spatial models of bistability in biological collectives. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 4851-4856). [4434523] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2007.4434523