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Degeneration of Limit Cycle Oscillation in BZ Electrode Reaction System Controlled Externally
Wei Guoying,Zhang Wenhua,Jin Yongdong,Luo Jiuli*
Author NameAffiliationE-mail
Wei Guoying Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064  
Zhang Wenhua Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064  
Jin Yongdong Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064  
Luo Jiuli* Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064 jiuliluo@scu.edu.cn  
Abstract:
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.
Key words:  BZ electrochemical reaction system, Limit cycle oscillation, Systematic dynamical analysis, Weak periodical electrode potential constraint
FundProject:
外控弱周期电位约束近似下电极BZ体系中极限环振荡的蜕变
卫国英,张文华,金永东,罗久里*
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
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
DOI:10.1088/1674-0068/18/3/367-371
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