28 citations · 44 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2010★ 28 cited
On the relation between Vicsek and Kuramoto models of spontaneous synchronization
A. A. Chepizhko, V. L. Kulinskii
The Vicsek model for the self-propelled particles is investigated with the respect to the introduction of the stochastic perturbation of the dynamics. It is shown that such a depen…
cond-mat.stat-mech2009★ 16 cited
The kinetic regime of the Vicsek model
V. L. Kulinskii, A. A. Chepizhko
We consider the dynamics of the system of self propelling particles modeled via the Vicsek algorithm in continuum time limit. It is shown that the alignment process for the velocit…