| 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. |
PDF Download reader
|
|
|
|