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n次Liénard系统奇点的Hopf分支与五次Liénard系统极限环的存在问题
引用本文:何启敏. n次Liénard系统奇点的Hopf分支与五次Liénard系统极限环的存在问题[J]. 苏州大学学报(医学版), 1994, 0(1)
作者姓名:何启敏
作者单位:苏州大学数学系
摘    要:本文给出n次Lienard系统发生Hopf分支的统一条件,并讨论了五次Lienard系统极限环的存在与不存在问题及其极限环位置的估计。

关 键 词:n(五)次Lienard系统  奇点的Hopf分支  极限环

ON HOPF BIFURCATION OF THE POLYNOMIL LIENARD''''S SYSTEM OF DEGREE N AND THE PROBLEM OF EXISTENCE OF LIMIT CYCLE FOR LIENARD''''S SYSTEM OF DEGREE 5
He Qimin Ostethenaties Department. ON HOPF BIFURCATION OF THE POLYNOMIL LIENARD''''S SYSTEM OF DEGREE N AND THE PROBLEM OF EXISTENCE OF LIMIT CYCLE FOR LIENARD''''S SYSTEM OF DEGREE 5[J]. Journal of Suzhou University(Natural Science), 1994, 0(1)
Authors:He Qimin Ostethenaties Department
Affiliation:He Qimin Ostethenaties Department
Abstract:In this paper we present A unified condition thru Hopf Befuration on occurs for the-pplynomi Licnard's system of degree n.and discuss the problems of existence and nonexistencf of limit cycle lor Lienard's system of degree 5.and also esthnse the location of the limit cycles.
Keywords:Lienard's system of degree a (5)  Hupf bifurcation of a singular point.Limitcycle.  
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