Relaxation oscillations in the revised Oregonator
Relaxation oscillations in the revised Oregonator
复制标题
修订后的俄勒冈器中的弛豫振荡
DOI：
10.1063/1.446690
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
J. Tyson
中科院分区：
文献类型：
--
作者：
J. Tyson
Oregonator是一个简单但令人惊讶地成功的模型，它描述了振荡的Belousov-Zhabotinskii反应的复杂化学过程，多年来一直因其解释溴离子再生的方式而受到批评。为了回应Noszticzius、Farkas和Schelly最近提出的反对意见，Noyes修改了Oregonator模型，使Br -的再生现在归因于有机化合物被HOBr氧化。本文以无因次形式给出了修正的Oregonator的动力学方程，并证明了只要速率常数的某一无因次比在一个较窄的区间内，该方程就存在松弛型极限环解。
The Oregonator, a simple but surprisingly successful model of the complex chemistry of the oscillating Belousov–Zhabotinskii reaction, has for years been criticized for the manner in which it accounts for the regeneration of bromide ions. In response to recent objections raised by Noszticzius, Farkas, and Schelly, Noyes has revised the Oregonator model so that the regeneration of Br− is now attributed to the oxidation of organic compounds by HOBr. In this paper the kinetic equations of the revised Oregonator are presented in dimensionless form, and it is shown that the equations admit limit cycle solutions of relaxation type as long as a certain dimensionless ratio of rate constants lies within a relatively narrow interval.