向日葵方程的Hopf分支  

HOPF BIFURCATION OF SUNFLOWER EQUATION

作　　者：魏俊杰[1] 

机构地区：[1]东北师范大学数学系

出　　处：《应用数学学报》1996年第1期73-79,共7页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金

摘　　要：本文以α为参数，讨论了向日葵方程的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．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.

关 键 词：向日葵方程 HOPF分支 分支周期解 稳定性 

分 类 号：O175.13[理学—数学]