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). 016105. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.85.016105)
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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.
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Item type: Article ID code: 36998 Dates: DateEvent10 January 2012Published7 December 2011Published OnlineSubjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. AstronauticsDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering
Technology and Innovation Centre > Advanced Engineering and ManufacturingDepositing user: Pure Administrator Date deposited: 24 Jan 2012 10:07 Last modified: 27 Nov 2024 01:07 URI: https://strathprints.strath.ac.uk/id/eprint/36998