中文摘要：

研究了向日葵方程在经历Hopf分支时,小周期扰动对系统的影响,特别是讨论了扰动频率与Hopf分支固有频率在调和共振的情形,表明了在某些参数区域内,系统存在调和解分支,并且证明了分支解的稳定性.

英文摘要：

In this paper the influence of small periodic perturbations on Sunflower equation exhibiting Hopf bifurcation is studied . In particular, the excitation frequency and the critical natural frequency of Hopf bifurcation in the case of harmonic resonance are discussed. It is shown that in some parameter regions the systems exhibit harmonic solution bifurcation . Furthermore, the stability of bifurcation periodic solutions is discussed.