一类具有周期扰动的向日葵方程的次调和分支  

Subharmonic Bifurcation of a Sunflower Equation with Periodic Perturbations

作　　者：殷红燕[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2012年第2期117-119,共3页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(60904005);中南民族大学中央高校基本科研业务费专项资金资助项目(CZQ12016)

摘　　要：研究了一类具有周期扰动的向日葵方程,讨论了在系统的扰动频率与Hopf分支固有频率为二阶次调和共振的情形下,次调和分支解的存在性,并且讨论了其稳定性.In this paper, a Sunflower equation with periodic perturbations is studied. In particular, the existence of subharmonic bifurcation solution is discussed under the condition that excitation frequency and the critical natural frequency of Hopf bifurcation are two-order subharmonic resonance. Furthermore, the stability of subharmonie bifurcation solution is also discussed.

关 键 词：向日葵方程 次调和分支 稳定性 

分 类 号：O175[理学—数学]