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化学振荡器系统中的噪声增强锁相

Noise-enhanced phase locking in a chemical oscillator system.

作者信息

Miyakawa Kenji, Isikawa Hironobu

机构信息

Department of Applied Physics, Fukuoka University, Fukuoka 814-0180, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 2):056206. doi: 10.1103/PhysRevE.65.056206. Epub 2002 Apr 29.

Abstract

Dynamical responses of a chemical oscillator to an external electric field were investigated in the Belousov-Zabotinsky reaction system with the catalyst Ru(bpy)(3)(2+) [tris-(2,2(')-bipyridine) ruthenium (II)] immobilized in cation exchange beads. Periodic forcing above the threshold induced phase locking, whose synchronization region has a shape similar to the Arnold tongue. When a certain amount of noise together with a subthreshold periodic signal was imposed on the chemical oscillator, 1:1 phase locking to the periodic signal occurred. Its degree passed through a maximum with increase in the noise intensity, a manifestation of stochastic resonance in the form of noise-enhanced phase locking. The experimentally observed features were reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.

摘要

在将催化剂三(2,2'-联吡啶)钌(II)(Ru(bpy)(3)(2+))固定在阳离子交换珠中的别洛索夫-扎博京斯基反应体系中,研究了化学振荡器对外部电场的动力学响应。高于阈值的周期性强迫会诱导锁相,其同步区域具有类似于阿诺德舌的形状。当一定量的噪声与亚阈值周期性信号一起施加到化学振荡器上时,会出现与周期性信号的1:1锁相。其程度随着噪声强度的增加而经过一个最大值,这是以噪声增强锁相形式出现的随机共振的一种表现。实验观察到的特征在一个受迫俄勒冈振子反应-扩散模型的数值模拟中得到了再现。

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