title: Internal noise coherent resonance for mesoscopic chemical oscillations: a fundamental study.
abstract: The effect of internal noise for a mesoscopic chemical oscillator is studied analytically in a parameter region outside, but close to, the supercritical Hopf bifurcation. By normal form calculation and a stochastic averaging procedure, we obtain stochastic differential equations for the oscillation amplitude r and phase theta that is solvable. Noise-induced oscillation and internal noise coherent resonance, which has been observed in many numerical experiments, are reproduced well by the theory.
authors.affiliation: Department of Chemical Physics, Hefei National Laboratory for Physical Science at Microscale, University of Science and Technology of China, Hefei Anhui 230026, P.R. China. hzhlj@ustc.edu.cn
authors.forename: Zhonghuai
authors.initials: Z
authors.lastname: Hou
authors.forename: Tie Jun
authors.initials: TJ
authors.lastname: Xiao
authors.forename: Houwen
authors.initials: H
authors.lastname: Xin