干摩擦系统的全局分析  

Global Analysis of Nonsmooth System with Friction

作　　者：杨海忠[1] 冯进钤[2] 

机构地区：[1]西安财经学院精算系,西安710100 [2]西北工业大学应用数学系,西安710072

出　　处：《四川理工学院学报（自然科学版）》2009年第3期23-24,27,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：国家自然科学基金(10802061);西安统计研究院科研基金资助项目(07JD16)

摘　　要：文章针对干摩擦系统的特点,基于胞映射的思想,通过切换事件的方法,得到一种干摩擦系统全局分析的方法。通过典型的干摩擦系统的应用分析,得到了干摩擦系统的吸引子和吸引域,同时得到了清晰的吸引域边界和边界上的鞍,证实了该方法的有效性。Based on the character of friction systems and soul of cell mapping method, an effective method is introduced to investigate the global structure by using the strategy of event-switching. As an illustrative example, a typical system with friction is investigated. The attractors, domains of attraction, as well as boundary of basin and saddlesare obtained. Also, the numerical results validate the effect.

关 键 词：非光滑动力系统 干摩擦系统 粘滑运动 全局分析 吸引域 

分 类 号：O545[理学—物理] O547