time-delay systems

Control of Collective Dynamics in a Network of Bistable Time-Delay Systems Coupled via the Mean Field

Authors: Ponomarenko V. I., Kulminskiy D. D., Borovkova E. I., Prohorov M. D.

Background and Objectives: The object of our study is a network of identical bistable time-delayed feedback systems coupled via the mean field and driven by an external harmonic signal. The mean field that provides the global coupling of time-delay systems has its own delay time, which allows one to take into account the final speed of signal propagation and processing in the medium through which the oscillators are connected.

Method for Information Transmission Using a Predictive Model in Coupled Time-delay Systems

Authors: Prohorov M. D., Ponomarenko V. I., Chub R. О.

Background and Objectives: The object of our study is a system for secure information transmission based on time-delay generators. The choice of the model is justified by the fact that time-delay systems can be easily realized in experiment and they can exhibit chaotic behavior with a large number of positive Lyapunov exponents (hyperchaos). A transmitter uses the modulation of the delay time of a chaotic generator by a binary information signal.