有闭轨Lienard系统的轨线结构分类

摘要

利用定性分析方法研究有闭轨Lienard系统轨线结构的拓扑分类,按Y+上点集和Y-上点集的对应关系给出了分类原则和方法,并将有闭轨Lienard系统的轨线结构分为40类.%The authors investigated the topological classification of the orbit structures of Lienard systems with closed orbits using the method of qualitative analysis. The classification rules and methods were given by the corresponding relationship between the set of Y+ and the set of Y~ , and 40 kinds of orbit structures of Lienard systems with closed orbits were yielded.