摘要
本文以B-Z反应的Oregonator模型为基础,根据三维Hopf分岔定理证明,在体系以温度为参变数的Hopf分岔点的左半邻域内,存在一个稳定的极限环,所导出的Hopf分岔点T_1与实验结果很好地符合,从而从理论上证明了实验中出现的温度分岔现象。
Based on the orcgonator model of the B-Z reaction and three dimensional Hopf Bifurcation criterion, it is shown that there is a stable Limit cycle in the left-half neighbour of the bifurcation point of the system with temperature as a parameter.The Hopf bifurcation point obtained is quite in accordance with the result of the experiment.The Hopf bifurcation phenomenon discovered experimentally is explained theoretically for the first time.
出处
《江西师范大学学报(自然科学版)》
CAS
1990年第3期19-25,共7页
Journal of Jiangxi Normal University(Natural Science Edition)