Degn-Harrison化学模型的稳定性和Hopf分支  

Stability and Hopf Bifurcation of Degn-Harrison Chemical Model

作　　者：陈建业 张存华[1] CHEN Jianye;ZHANG Cunhua(Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Chin)

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《应用数学》2018年第3期683-689,共7页Mathematica Applicata

基　　金：国家自然科学基金资助项目(61563026;61763024)

摘　　要：本文考虑具有Degn-Harrison反应格式的化学模型并分析模型正平衡点的稳定性和Hopf分支以及Hopf分支的方向和分支周期解的稳定性.利用Matlab软件包和求解常微分方程初值问题的数值方法,对所获得的理论结果给出了适当的数值验证.In this article, a chemical reaction model with Degn-Harrison reaction scheme is considered and the stability and Hopf bifurcation of the positive equilibrium point are analyzed as well as the direction of the Hopf bifurcation and the stability of the bifurcating periodic solution are also discussed.Numerical simulations are included to verify the obtained theoretical results by using the Matlab software package and the numerical methods solving initial value problems of ordinary differential equations.

关 键 词：Degn-Harrison反应格式 稳定性 HOPF分支 周期解 

分 类 号：O175.13[理学—数学]