Article ID Journal Published Year Pages File Type
8256531 Physica D: Nonlinear Phenomena 2013 15 Pages PDF
Abstract
► A new class of interaction potentials for swarming models is proposed. ► Potentials fulfill properties desirable from biological modeling. ► Flock and mill solutions are expressed in terms of basic functions in 2D and 3D. ► Constrained optimization methods are successfully used to compute the patterns. ► Highly convincing agreement between continuous results and particle simulations.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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