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Time-delayed autosynchronous swarm control

Biggs, James and Bennet, Derek James and Dadzie, Kokou (2012) Time-delayed autosynchronous swarm control. Physical Review E, 85 (1). ISSN 1539-3755

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Abstract

In this paper a general Morse potential model of self-propelling particles is considered in the presence of a time-delayed term and a spring potential. It is shown that the emergent swarm behavior is dependent on the delay term and weights of the time-delayed function which can be set to induce a stationary swarm, a rotating swarm with uniform translation and a rotating swarm with a stationary center-of-mass. An analysis of the mean field equations shows that without a spring potential the motion of the center-of-mass is determined explicitly by a multi-valued function. For a non-zero spring potential the swarm converges to a vortex formation about a stationary center-of-mass, except at discrete bifurcation points where the center-of-mass will periodically trace an ellipse. The analytical results defining the behavior of the center-of-mass are shown to correspond with the numerical swarm simulations.

Item type: Article
ID code: 36998
Keywords: self-propelling particles, swarm control, rotating swarm, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics
Subjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. Astronautics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Technology and Innovation Centre > Advanced Engineering and Manufacturing
Depositing user: Pure Administrator
Date Deposited: 24 Jan 2012 10:07
Last modified: 29 Jul 2015 13:04
URI: http://strathprints.strath.ac.uk/id/eprint/36998

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