一类高次奇点在中心流形上的极限环分支

Limit Cycles Bifurcation of A Class of High-order Singularity on Central Manifold

研究了一类三维系统高次奇点极限环分支的问题。通过奇点量的计算,首次给出并证明了这类系统在中心流形上存在至少3个极限环的结论。

In this paper,bifurcation of limit cycles from the degenerate equilibrium of a three-dimensional system is investigated. By computing the singular point quantities,the existence of at least 3 limit cycles on the central manifold is proved.