Issue |
EPL
Volume 105, Number 2, January 2014
|
|
---|---|---|
Article Number | 20002 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/105/20002 | |
Published online | 07 February 2014 |
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.