Dynamics of group formation

Abstract

We consider a specific dynamical system of groups formation. It is based simultaneously on a gradient competition between groups and a strong accumulation inside groups. Such a dynamical system demonstrates interesting behavior of densities of emerging groups of $1$, $2$, $3$, ... elements in a steady-state depending on the densities of one-elements groups in a randomly chosen initial state.

updated version with 1d and 2d models, and one-step 1d primitive model