Biggs, James and Bennet, Derek James and Dadzie, Kokou (2012) Time-delayed auto-synchronous swarm control. Physical Review E, 85 (1). ISSN 1539-3755
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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.
|Keywords:||Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics|
|Subjects:||Technology > Mechanical engineering and machinery|
Technology > Motor vehicles. Aeronautics. Astronautics
|Department:||Faculty of Engineering > Mechanical and Aerospace Engineering|
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|Depositing user:||Pure Administrator|
|Date Deposited:||24 Jan 2012 10:07|
|Last modified:||14 Jun 2013 02:12|
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