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向日葵方程的Hopf分支
引用本文:魏俊杰.向日葵方程的Hopf分支[J].应用数学学报,1996,19(1):73-79.
作者姓名:魏俊杰
作者单位:东北师范大学数学系
摘    要:本文以a为参数,讨论了向日葵方程a+(a/4)a+(b/r)sina(t-r)=0的Hopf分支,给出了存在Hopf分支的条件,分支方向,分支周期解的表达式及其稳定性等性质。

关 键 词:向日葵方程  Hopf分支  分支周期解  稳定性

HOPF BIFURCATION OF SUNFLOWER EQUATION
WEI JUNJIE.HOPF BIFURCATION OF SUNFLOWER EQUATION[J].Acta Mathematicae Applicatae Sinica,1996,19(1):73-79.
Authors:WEI JUNJIE
Abstract:in this paper, we investigated Hopf bifurcation of the sunflower equationwhere a was regarded as bifurcation parameter. We obtained the conditions for Hop f bifurcation of the equation and gave the direction of bifurcation, the expression of the bifurcatingperiodic solutions as well as their stability.
Keywords:Sunflower equation  Hopf bifurcation  bifurcating periodic solution  stability  
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