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Flocking and collision avoidance of a cucker-smale type system with singular weights
Maoli Chen,Xiang Li,Xiao Wang,Yicheng Liu
Keywords:Time-asymptotic ?ocking, singular weights, collision avoidance
Abstract:
      The dynamical behavior of a ?ock 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 suf?cient condition for the existence of time-asymptotic ?ocking is also acquired and numerical simulations veri?ed these results which show that a compact equilibrium con?guration may emerge.