Resonance in an ensemble of excitable reaction-diffusion systems under spatially periodic force

In this paper, we investigate the resonance collective behavior in an ensemble of excitable reaction-diffusion systems subjected to the weak signal and spatially periodic force. It is demonstrated that the resonance behavior is optimized by intermediate values of the spatial force's amplitude and frequency, which is termed spatially periodic-force-induced resonance. Moreover, we study that how the diffusion coefficient and modulation period influence the response of the system to the external weak signal, and present the mechanism of this resonance phenomenon. These findings show that spatially periodic force as intrinsic diversity might have a constructive role and shed light on our understanding of the collective behaviors of nonlinear systems driven by spatially periodic force in response to the weak signal.