Flocking and pattern motion in a modified Cucker-Smale model (Q2828671)

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scientific article; zbMATH DE number 6643621
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Flocking and pattern motion in a modified Cucker-Smale model
scientific article; zbMATH DE number 6643621

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    26 October 2016
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    flocking pattern
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    self-organizing system
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    motion pattern
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    influence function
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    asymptotic flocking velocity
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    Flocking and pattern motion in a modified Cucker-Smale model (English)
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    In this paper a modified Cucker-Smale model is studied. The authors consider the target motion pattern driving forces. It is shown for the Cucker-Smale model with prescribed line-shaped motion pattern that there exists a flocking pattern with an asymptotic flocking velocity. This is the main result in the paper under consideration. Numerical simulations are presented for the model with prescribed ball-shaped motion pattern which illustrate the obtained theoretical results.
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