Signal response enhanced by partial time delay in anormal diffusive coupled bistable oscillators

The effect of a partial time delay on the response to external weak input signals in a bistable oscillator with anormal diffusive coupling was studied. Periodic resonance or anti-resonance in the signal response with time delay was observed, and the resonance period equals the period of the external input signal. Specifically, for the negative mean-field density parameter, the signal response can be improved through time delay, which is a resonance phenomenon. Conversely, for the positive mean-field density parameter, no such enhancement effect was observed, suggesting the presence of an anti-resonance phenomenon. As the probability of a partial time delay increases, the width of the time delay of the optimal signal response becomes narrower. When the probability of a partial time delay is large enough, the response of the system is optimal only when the time delay closely approximates integer or half-integer multiples of the external signal period. These numerical findings provide a new approach for weak signal detection that could be applied to the extraction of weak feature information within relevant fields.