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

Shuai Liu, Chenggui Yao, Xiaofang Wang and Qi Zhao

Physica A: Statistical Mechanics and its Applications, 2017, vol. 467, issue C, 184-191

Abstract: 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.

Keywords: Resonance; Reaction–diffusion systems; Periodic force (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:467:y:2017:i:c:p:184-191

DOI: 10.1016/j.physa.2016.10.012

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