Abstract
We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a translating state and a rotating state with stationary center of mass. Time delayed communication creates a bifurcation pattern dependent on the coupling amplitude between particles. Using a mean field model in the large number limit, we show how the complete bifurcation unfolds in the presence of communication delay and coupling amplitude. Relative to the center of mass, the patterns can then be described as transitions between translation, rotation about a stationary point, or a rotating swarm, where the center of mass undergoes a Hopf bifurcation from steady state to a limit cycle. Examples of some of the stochastic patterns will be given for large numbers of particles.
| Original language | English |
|---|---|
| Title of host publication | IROS'11 - 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems |
| Subtitle of host publication | Celebrating 50 Years of Robotics |
| Pages | 3905-3910 |
| Number of pages | 6 |
| DOIs | |
| State | Published - 29 Dec 2011 |
| Event | 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems: Celebrating 50 Years of Robotics, IROS'11 - San Francisco, CA, United States Duration: 25 Sep 2011 → 30 Sep 2011 |
Publication series
| Name | IEEE International Conference on Intelligent Robots and Systems |
|---|
Other
| Other | 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems: Celebrating 50 Years of Robotics, IROS'11 |
|---|---|
| Country | United States |
| City | San Francisco, CA |
| Period | 25/09/11 → 30/09/11 |
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Noise, bifurcations, and modeling of interacting particle systems. / Mier-Y-Teran-Romero, Luis; Forgoston, Eric; Schwartz, Ira B.
IROS'11 - 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems: Celebrating 50 Years of Robotics. 2011. p. 3905-3910 6048160 (IEEE International Conference on Intelligent Robots and Systems).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
TY - GEN
T1 - Noise, bifurcations, and modeling of interacting particle systems
AU - Mier-Y-Teran-Romero, Luis
AU - Forgoston, Eric
AU - Schwartz, Ira B.
PY - 2011/12/29
Y1 - 2011/12/29
N2 - We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a translating state and a rotating state with stationary center of mass. Time delayed communication creates a bifurcation pattern dependent on the coupling amplitude between particles. Using a mean field model in the large number limit, we show how the complete bifurcation unfolds in the presence of communication delay and coupling amplitude. Relative to the center of mass, the patterns can then be described as transitions between translation, rotation about a stationary point, or a rotating swarm, where the center of mass undergoes a Hopf bifurcation from steady state to a limit cycle. Examples of some of the stochastic patterns will be given for large numbers of particles.
AB - We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a translating state and a rotating state with stationary center of mass. Time delayed communication creates a bifurcation pattern dependent on the coupling amplitude between particles. Using a mean field model in the large number limit, we show how the complete bifurcation unfolds in the presence of communication delay and coupling amplitude. Relative to the center of mass, the patterns can then be described as transitions between translation, rotation about a stationary point, or a rotating swarm, where the center of mass undergoes a Hopf bifurcation from steady state to a limit cycle. Examples of some of the stochastic patterns will be given for large numbers of particles.
UR - http://www.scopus.com/inward/record.url?scp=84455204868&partnerID=8YFLogxK
U2 - 10.1109/IROS.2011.6048160
DO - 10.1109/IROS.2011.6048160
M3 - Conference contribution
SN - 9781612844541
T3 - IEEE International Conference on Intelligent Robots and Systems
SP - 3905
EP - 3910
BT - IROS'11 - 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems
ER -