Capturing pattern bi-stability dynamics in delay-coupled swarms
1 US Naval Research Laboratory- Code 6792, Nonlinear System Dynamics Section, Plasma Physics Division Washington, DC 20375, USA
2 Bloomberg School of Public Health-Johns Hopkins University - 615 N. Wolfe Street, Baltimore, MD 21205, USA
Received: 25 September 2013
Accepted: 11 January 2014
Swarms of large numbers of agents appear in many biological and engineering fields. Dynamic bi-stability of co-existing spatio-temporal patterns has been observed in many models of large population swarms. However, many reduced models for analysis, such as mean-field (MF), do not capture the bifurcation structure of bi-stable behavior. Here, we develop a new model for the dynamics of a large population swarm with delayed coupling. The additional physics predicts how individual particle dynamics affects the motion of the entire swarm. Specifically, 1) we correct the center-of-mass propulsion physics accounting for the particles' velocity distribution; 2) we show that the model we develop is able to capture the pattern bi-stability displayed by the full swarm model.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 89.75.Kd – Patterns / 87.23.Cc – Population dynamics and ecological pattern formation
© EPLA, 2014