介观化学振荡的内噪声相干共振：一项基础研究。

Internal noise coherent resonance for mesoscopic chemical oscillations: a fundamental study.

作者信息

Hou Zhonghuai, Xiao Tie Jun, Xin Houwen

机构信息

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.

出版信息

Chemphyschem. 2006 Jul 17;7(7):1520-4. doi: 10.1002/cphc.200600072.

DOI:10.1002/cphc.200600072

PMID:16729356

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.

摘要

在超临界霍普夫分岔之外但接近该分岔的参数区域，对介观化学振荡器的内部噪声效应进行了分析研究。通过范式计算和随机平均过程，我们得到了关于振荡幅度(r)和相位(\theta)的可求解的随机微分方程。理论很好地再现了许多数值实验中观察到的噪声诱导振荡和内部噪声相干共振。