摘要
研究了一类具两条不连续相交线的平面系统的闭轨.利用微分包含理论和点变换的方法,获得了一些有趣的结果,包括滑模解,同宿解和闭轨的存在性.同时给出了闭轨存在的必要条件.
Closed trajectory of a class of planar systems with two intersecting lines of discontinuity are investigated. Using the theory of differential inclusions and the method of point transformation, some interesting results are provided including existence of sliding motion solutions, homoclinic solution and closed trajectories. Synchronously we give necessary conditions for the existence of closed trajectories.
出处
《纯粹数学与应用数学》
CSCD
2011年第1期13-18,共6页
Pure and Applied Mathematics
基金
国家自然科学基金(10771055
60835004)
湖南省应用基础研究计划重点项目(2008FJ2008)
湖南省教育厅项目(09B019)
关键词
平面系统
闭轨
同宿解
微分包含
planar system
closed trajectory
homoclinic solution
differential inclusion
