title: Resonance induced by a spatially periodic force in the reaction-diffusion system.
abstract: The stimulus-dynamic response is an important topic in physics. In this work, we study the dynamics in the reaction-diffusion system subjected to a weak signal and a spatially periodic force. We find that the response of the system to the weak signal is enhanced largely by the spatially periodic force, which is termed spatially periodic-force-induced resonance. In particular, the response becomes stronger when the spatial frequency is chosen such that the system synchronizes with spatially periodic force. This combinative behavior, i.e., the spatially periodic-force-induced resonance and the spatial-synchronization-enhanced resonance, is of great interest and may shed light on our understanding of the dynamics of nonlinear systems subjected to spatially periodic force in responding to a weak signal.
authors.affiliation: Department of Mathematics, Shaoxing University, Shaoxing 312000, China.|Department of Physics, Xiamen University, Xiamen 361005, People's Republic of China.
authors.forename: Chenggui
authors.initials: C
authors.lastname: Yao
authors.affiliation: Department of Mathematics, Shaoxing University, Shaoxing 312000, China.|Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China.
authors.forename: Zhiwei
authors.initials: Z
authors.lastname: He
authors.affiliation: College of Science, China University of Mining and Technology, Xuzhou 221000, China.
authors.forename: JinMing
authors.initials: J
authors.lastname: Luo
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, People's Republic of China.
authors.forename: Jianwei
authors.initials: J
authors.lastname: Shuai