@article{Zhang2025, 
author = {Shixuan Zhang and Jianbo Yuan},
title = {Finite-time flocking of particle models with nonlinear velocity coupling and inter-driving forces},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {5},
pages = {3410-3430},
keywords = {finite-time flocking, nonlinear velocity coupling, inter-driving forces},
url = {https://www.sciopen.com/article/10.3934/era.2025151},
doi = {10.3934/era.2025151},
abstract = {In this paper, we propose a finite-time flocking particle model with nonlinear velocity coupling and inter-driving forces. Initially, we demonstrate that under specific initial conditions, the system achieves flocking within a finite timeframe, with all particles' velocities converging to the average of their initial velocities. Our results include some results in the literature. Furthermore, a special case of mutual driving is given. Finally, we validate the obtained results through numerical simulations to confirm their accuracy.}
}