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Volume 10, Number 1, 2020, Pages 140-152                                                                DOI:10.11948/20190038
Flocking and collision avoidance of a Cucker-Smale type system with singular weights
Maoli Chen,Xiang Li,Xiao Wang,Yicheng Liu
Keywords:Time-asymptotic flocking, singular weights, collision avoidance.
Abstract:
      The dynamical behavior of a flock model with a singular communication rate and extra interaction terms is investigated in this paper. A rigorous theoretical proof of collision avoidance between any two agents is obtained which guarantees the existence of global solutions. Moreover, a sufficient condition for the existence of time-asymptotic flocking is also acquired and numerical simulations verified these results which show that a compact equilibrium configuration may emerge.
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