一类非线性系统极限环的分析

Analysis of Limit Cycles for a Class of Nonlinear Polynomial System

用平面自治系统的极限环理论以及分支理论研究了一类具有普遍意义的非线性系统,讨论了该系统极限环的存在性和唯一性,应用所得结果,推广并改进了前人的结果.

By using the theory of limit cycles and bifurcation of the plane autonomous system, we study the existence and uniqueness of limit cycles for a class of nonlinear polynomial systems with general significance. Applying the obtained conclusions, some results of predecessors are extended and improved.