кластеризация

The features of collective dynamics of oscillators are studied in an ensemble of identical bistable time-delay systems globally coupled via the mean field. The influence of inertial properties and delay of the mean field on the collective dynamics of oscillators is considered. It is shown that a variety of oscillation regimes in the ensemble is caused by the presence of bistable states with considerably different basic frequencies in coupled oscillators.

The paper considers a self­organized critical process of clasterization. The stability of the equilibrium for infinite system of the differential equations approximating this process is proved.