二次系统(Ⅲ)的极限环研究

A Study on the Limit Cycles of Quadric System(III)

研究了二次系统(Ⅲ) 其中b=n=-m/δ,证明了该系统极限环的存在唯一性,讨论了解关于δ的分枝结构,解决了极限环的确切个数和分布问题。

Quadric system(Ⅲ) of the formis studied, where b = n =-m/δ, and the existence and uniqueness of limit cycles of the system is proved, their bifurcation behaviour is fully analysed. Hence, the number and distribution of limit cycles of the system are obtained.