摘要
继续讨论以二次柱面为首次积分的空间二次系统 .当在每个不变柱面上有奇点时证明了这类系统局部极限环的存在性 ;同时给出了这类系统存在由第一类 (零伦 )
The quadratic system in space with a first integral of quadratic cylinder is discussed. It is proved the existence of local limit cycle when there exists critical points in every invariant cylinder. Some sufficient condition to guarantee the existence of global invariant manifolds consisting zero homotopic closed orbits is gived.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2001年第4期239-243,共5页
Journal of Yantai University(Natural Science and Engineering Edition)
关键词
搬限环
不变流形
周期解
limit cycle
invariant manifold
periodic solution
