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Delay-improved signal propagation in globally coupled bistable systems

Based on the mechanism of vibrational resonance, we improve the weak low-frequency signal propagation in globally coupled bistable systems by time delay feedback. In the system chains, the weak low-frequency signal is added only to the first oscillator and the identical high-frequency signals are added to all of the oscillators. Both numerical and analytical results show that the response amplitude of the last oscillator to the low-frequency signal varies periodically with the delay parameter by two different periods, which equal the periods of the two exciting signals, respectively. In addition, the vibrational resonance can also be induced to improve signal propagation by adjusting the coupling strength. Comparing with the delay-free systems, with the cooperation of the high-frequency signal and time delay feedback, the weak low-frequency signal can be transmitted much more efficiently in the delayed systems.