time-delay systems.

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.

A method is proposed for generalized synchronization detection which does not exploit an auxiliary system. The method operates in a real time and uses a single response system that is driven alternately by the drive system signal and its delayed copy. A system of secure communication based on the proposed method is developed that has high resistance to noises of a transmission channel.