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

作　　者：王仕军 计林宇 曹璐伟 陆莹冉 李立平[1] WANG Shijun;JI Linyu;CAO Luwei;LU Yingran;LI Liping(School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2020年第2期9-14,共6页Journal of Huzhou University

基　　金：国家自然科学基金项目(11571106);湖州师范学院大学生创新创业训练科研项目(201901113).

摘　　要：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.

关 键 词：不连续动力系统 伪平衡点 POINCARE映射 全局稳定性 

分 类 号：O193[理学—数学]