time-delayed feedback

Method of TimeDelay Systems Recovery from Time Series with Known Type of Model Equation

Authors: Ponomarenko V. I., Prohorov M. D., Sidak E. V.

We propose the method for the reconstruction of firstorder timedelay systems from their time series. The method is based on taking into account the type of the system equation at the regression model construction. The method allows one to recover the delay time, the parameter characterizing the inertial properties of the system and the nonlinear function. It can be applied to the recovery of timedelay systems performing chaotic and periodic oscillations.

Time-delayed Feedback Control of Coherence Resonance. Experimental Study

Authors: Semenov V. V., Vadivasova T. Е., Shell' E., Zakharova А. S.

In the paper a possibility to control the behavior of dynamic systems under conditions of coherent resonance using delayed feedback is proved experimentally. This problem is studied on the classical example of excitable system, which is the FitzHugh – Nagumo oscillator, as well as on the example of the Van der Pol oscillator with hard excitation, which also demonstrates the regime of coherent resonance. In both cases, when changing the delay time the feedback loop can both enhance and suppress the effect of coherent resonance.