когерентный резонанс

In present paper the phenomena of coherence resonance, mutual and external synchronization of noise-induced stochastic oscillations in FitzHugh–Nagumo system are studied by means of numerical and natural experiments. The properties of attractor in the system as well as energy exchange processes are analyzed. Self-sustained character of stochastic oscillations in non-autonomous FitzHugh–Nagumo system justified.

In the present paper we study an unstable nonlinear oscillator in which the growth of amplitude of oscillations is limited by noise influence. We calculate the characteristics of noise-stabilized fluctuations. It is shown when the noise intensity changes, the system can demonstrate different effects such as the suppression of exponential instability of trajectories and the narrowing of the spectrum of fluctuations.

This work presents results of experimental studies of coherence resonance phenomenon in UHF devices with long interaction (TWT and BWO). Basic properties of this phenomenon were investigated. Discovered suppression effect of resonant response on external noise by external harmonic signal. This suppression effect can be used to increase signal-to-noise ratio in system’s output. Specific features of coherence resonance phenomenon in long-interaction devices also noted.