Accelerating consensus of self-driven swarm via adaptive speed

Details Accelerating consensus of self-driven swarm via adaptive speed Accelerating consensus of self-driven swarm via adaptive speed

2007-11-25

arxiv.org/abs/0711.3896v2

Physica A 388: 1237-1242 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 6 figures

Scientific paper

10.1016/j.physa.2008.11.043

In resent years, Vicsek model has attracted more and more attention and been well developed. However, the in-depth analysis on the convergence time are scarce thus far. In this paper, we study some certain factors that mainly govern the convergence time of Vicsek model. By extensively numerical simulations, we find the convergence time scales in a power law with $r^2\ln N$ in the noise-free case, where $r$ and $N$ are horizon radius and the number of particles. Furthermore, to accelerate the convergence, we propose a new model in which the speed of each particle is variable. The convergence time can be remarkably shortened compared with the standard Vicsek model.

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