一类非线性自治系统的极限环研究

Study on Limit Cycles for a Class of Nonlinear Autonomous System

研究了一类非线性自治系统的极限环问题,应用常微分方程定性理论,对该系统的平衡点进行了分析,得到了极限环存在唯一性的充分条件.

This paper focuses on the limit cycles for a class of nonlinear autonomous system, by using qualitative theory of ordinary differential equations, the equilibrium points and the sufficient conditions for the existence and uniqueness of limit cycle is analyzed