Accelerating consensus of self-driven swarm via adaptive speed

Zhang, Jue; Zhao, Yang; Tian, Baomei; Peng, Liqian; Zhang, Hai-Tao; Wang, Bing-Hong; Zhou, Tao

doi:10.1016/j.physa.2008.11.043

Back

Journal article

Accelerating consensus of self-driven swarm via adaptive speed

Zhang, Jue Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China
Zhao, Yang Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China
Tian, Baomei Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China
Peng, Liqian Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China
Zhang, Hai-Tao Department of Engineering, University of Cambridge, Cambridge, UK - Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China
Wang, Bing-Hong Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China
Zhou, Tao Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei Anhui, China - Department of Physics, University of Fribourg, Switzerland

07.12.2008

Published in:

Physica A: Statistical Mechanics and its Applications. - 2009, vol. 3888, no. 7, p. 1237-1242

English In recent years, the well-developed Vicsek model has attracted more and more attention. Unfortunately, in-depth research on its convergence speed is not yet completed. In this paper, we investigate some key factors governing the convergence speed of the Vicsek model with the assistance of extensive numerical simulations. A significant phenomenon surfaces that the convergence time scales obeys a power law with r²lnN, with r and N being the horizon radius and the number of particles, respectively. To further accelerate the convergence procedure, we propose a kind of improved Vicsek model with self-driven particles governed by variational speeds, which can remarkably shorten the convergence time of the standard Vicsek model.

Faculty

Faculté des sciences et de médecine

Department

Département de Physique

Language