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THE PROBLEM OF LIMIT CYCLES FOR A LIENARD TYPE CUBIC SYSTEM
作者姓名:Ali.  Elamin.  M.  Saeed
作者单位:College of
基金项目:Project supported by the National Natural Science Foundations of China (No.10471066).
摘    要:The purpose of this paper is to study a general Lienard type cubic system with one antisaddle and two saddles. We give some results of the existence and uniqueness of limit cycles as well as the evolution of limit cycles around the antisaddle for system (2) in the following when parameter a1 changes.

关 键 词:极限环  分歧  存在性  唯一性

THE PROBLEM OF LIMIT CYCLES FOR A LIENARD TYPE CUBIC SYSTEM
Ali. Elamin. M. Saeed.THE PROBLEM OF LIMIT CYCLES FOR A LIENARD TYPE CUBIC SYSTEM[J].微分方程年刊(英文版),2006,22(2):127-133.
Authors:Ali Elamin M Saeed Luo Dingjun
Institution:[1]College of Math. and Computer Science, Nanjing Normal University, Nanjing 210097 [2]Alzaem Alazhari University, Sudan
Abstract:The purpose of this paper is to study a general Lienard type cubic system with one antisaddle and two saddles. We give some results of the existence and uniqueness of limit cycles as well as the evolution of limit cycles around the antisaddle for system (2) in the following when parameter a1 changes.
Keywords:cubic Lienard system  limit cycle  bifurcation
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