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Noise, Bifurcations, and Modeling of Interacting Particle Systems by Mier-y-Teran-Romero, Luis; Forgoston, Eric; Schwartz, Ira B. is a scholarly article available to read on EtoBox.

What is Noise, Bifurcations, and Modeling of Interacting Particle Systems about?

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.

Author

Mier-y-Teran-Romero, Luis; Forgoston, Eric; Schwartz, Ira B.

Published

2012

Language

EN