一类非线性微分系统极限环的存在唯一性

On Existence and Uniqueness of Limit Cycles of a Class of Nonlinear Differential System

利用后继函数法研究了一类非线性微分系统极限环的相关问题,获得了该系统极限环的存在性,唯一性和不存在性的完整结果.

By using successive function method,this paper studies the related problem of limit cycles of a class of nonlinear differential system,and obtains the complete results of the existence,uniquencess and nonexistence of limit cycles for this system.