摘要
在纯粹BZ反应体系的三变量Oregonator模型及电极过程动力学的基础上,建立了电极BZ反应体系的动力学模型.并在外控弱周期约束近似下,对这类电极BZ反应体系的慢流型上准定态进行了线性化稳定性分析;同时进一步对该类体系中有利于出现极限环振荡的范围进行了计算,绘制出了出现极限环振荡的参数区域.计算机模拟发现,由于外控电极电位的周期性变化,Pt电极反应相中出现极限环振荡的参数区域发生蜕变在极限环振荡区域内呈现的动力学行为是BZ反应的本征自组织行为,但其周期振幅已发生变异;而在振荡区域外体系则可出现对外控约束的纯粹响应性振荡,周期与外控约束电位振荡相同.
A dynamical model of electrode BZ reaction system was establisheed on the basis of three variables Oregonator model and kinetics of electrode process. Under weak periodical constraint approximation, dynamical stability of quasi-steady state on the slow-manifold of the system is analyzed by means of linearized stability analysis of three-variable system. Meanwhile, the corresponding regime favorable for the appearance of limit cycle oscillation is calculated. Computer simulation shows that limit cycle oscillatory regime has degenerated because of the external periodical potential constraint in the electrode phase. In this regime the system behaves as a temporary self-organization. Whereas, outside this regime a kind of response oscillation appear, with, same period as the constraint.
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(20273044).
关键词
BZ电化学反应体系
极限环振荡
系统动力学分析
外控周期电位约束
BZ electrochemical reaction system
limit cycle oscillation
systematic-dynamical analysis
weak periodical electrode potential constraint
