Belousov-Zhabotinsky反应中的周期电反馈效应  

Effects of Electrical Perlodical Feedback in the Belousov-Zhabotinsky Reaction

作　　者：张涛[1] 毕勤胜[1] 李勇[1] 张正娣[1] 

机构地区：[1]江苏大学理学院,镇江212013

出　　处：《科学技术与工程》2008年第10期2530-2534,共5页Science Technology and Engineering

基　　金：国家自然科学基金(20476041;10602020)资助

摘　　要：讨论了BZ反应的Oregonator(俄勒冈)模型在周期反馈下的动力学行为。指出无反馈存在时,系统可能存在稳定的平衡态,并由Hopf分岔导致周期振荡。而当周期扰动存在时,随着扰动幅值的逐步增大,系统由周期增加分岔直至无穷导致混沌。混沌失稳后产生不同周期的振荡,并由周期增加分岔引起另一混沌吸引子。The dynamical behaviors of Oregonator model with electrical periodic feedback have been discussed. It is pointed out that stable equilibrium may exist with no feedback, which may lose the stability via Hopf bifurcation, resulting in stable periodic oscillations. However, when there exists periodic feedback, with the increase of the amplitude of the feedback, an interesting phenomenon that period-increasing bifurcation until period tending to infinity causes the system to be chaotic can be observed. Furthermore, different types of periodic oscillations can be obtained, which may finally lead to another chaotic attractor via period-increase bifurcation.

关 键 词：Belousov-Zhabotinsky(BZ)反应 周期反馈 分岔 混沌 

分 类 号：O322[理学—一般力学与力学基础]