摘要
本文讨论了三次系统的分类,并就Poincare′赤道为奇异轨道时,研究了它在什么条件下是有界的,以及该有界三次系统时性质。为了说明本文所得结果的实在性,举出了应用的例子。从例子中可见,利用该结果,对于获得某些方程的重要性质是较之原来的方法简单得多。
This paper, discusses the boundedness of cubic system it gives some
methods which deals with the problem boundedness and discusses the cubic
system under Poincare's equator being singual trajectories. using our met-
hods and results, some examples show the advantage.
出处
《西北大学学报(自然科学版)》
CAS
CSCD
1989年第3期53-60,共8页
Journal of Northwest University(Natural Science Edition)
关键词
有界三次系统
坐标变换
无穷远奇点
Bounded cubic system
Coordinate transformation
Singulan point at infinity.