Name
Title | ||
|---|---|---|
New Conditions To Avoid Collisions In The Discrete Cucker-Smale Model With Singular Interactions |
Abstract | ||
|---|---|---|
In this paper, we consider the discrete Cucker-Smale model with singular interactions. Firstly, we use the inductive method and discrete energy method to prove there is no collision between any two agents in finite time. Then we show that collision-avoiding flocking would occur with appropriate initial conditions. At last, we give an example to show the collision might occur for some different positions initially. (C) 2020 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.aml.2020.106906 | APPLIED MATHEMATICS LETTERS |
Keywords | DocType | Volume |
Cucker-Smale flocking, Singular interactions, Collision avoidance | Journal | 114 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lining Ru | 1 | 0 | 0.34 |
| Yi-Cheng Liu | 2 | 41 | 13.29 |
| Xiao Wang | 3 | 0 | 0.68 |