一类二阶不连续系统的全局动力学分析

Global Dynamical Analysis for a Class of Second-order Discontinuous Systems

结合右端不连续微分方程Filippov理论及广义Poincare映射特征,针对一类二阶不连续系统的等价平面系统,研究其伪平衡点类型及全局稳定性,修正并改进了前人已有的极限环存在性工作.

By Filippov theory of differential equations with discontinuous right-hand sides and the character of generalized Poincare mapping,the types of pseudo-equilibrium and the global stability have been investigated for the planar dynamical systems,which are equivalent to a class of second-order discontinuous differential equations.This paper corrects and improves the existing work on the existence of limit cycles.