化学计量系数对B-Z反应系统动力学行为的影响

Influence of the Stoichiometric Coefficient on Dynamical Behavior in B-Z Reaction

实验测定B Z反应系统在其化学计量系数μ取定值1时,其动力学行为呈现单周期振荡态.将化学计量系数μ作为调节参数,理论研究了该系统动力学行为随μ值的变化.结果表明,当μ值从定值变为线性变化参数时,经稳定性分析确定系统存在一个不稳定区域,化学计量系数μ在此区域内取值时,系统均可以呈现单周期振荡态;而当μ从定值变为周期变化参数时,可以确定系统的动力学行为是由倍周期振荡进入混沌.

The dynamical behavior taking on single period oscillation state in BZ reaction has been measured experimently, as the system's stoichiometric coefficient is the constant value of one. In this paper, the stoichiometric coefficient is served as a modulation parameter(μ) and the change of dynamical behavior of the system with the parameter μ is theoretically investigated. The results show that the system has an unstable region determined by using of stable analysis when changes from a constant value to a linearly varying parameter, and the system can take on single period oscillation state once the stoichiometric coefficient is taken in the region. When parameter μ varies from a constant to a parameter oscillating periodically,it can be defermined that the dynamical behavior of the system tarns to chaos from oscillating.