多项式类Lienard方程的多个极限环及电子计算机分析
Limit Cycles of Polynomial Lienard’s Equation and Analysis by Computer作者机构:大连工学院 东北师范大学 昆明工学院数学教研室
出 版 物:《昆明工学院学报》 (Journal of Kunming University of Science and Technology)
年 卷 期:1983年第1期
页 面:90-98页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:极限环 Lienard 存在性 极限圈 方程 多项式 计算机
摘 要:this paper we discuss polynomial Lienard’s equatiou where N is a positive integer number. For N=2n+1 and N=2n+2, in § 2 we give some sufficient conditions -guaranteeing system (P) to have at least (or exactly for N=2n+1 )n limit cycles. In §3,we give the programing profile diagram analysed by computey, which can estimate the existence of n limit cycles and construct n limit cycles. In § 4 we give a few concrete examples.