摘要
本文通过对一类平面五次系统x=-y(1-ax4)+bx-cx5,y=x(1-ax4)的研究,得到了其极限环的不存在性及存在唯一的简洁条件。
In this paper, a class of plane five-degree system x= -y(1-ax4) + bx - cx5, y = x(1-ax4) was studied, and a simple sufficient condition was obtained to guarantee the non-existence, existence and unigueness of limit cycle for the given system.
出处
《山东科技大学学报(自然科学版)》
CAS
2000年第2期18-21,共4页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
五次系统
DULAC函数
唯性
极限环
five-degree system
limit cycle
Dulac function
uniqueness