摘要
首先利用光滑子系统的流建立了不连续边界上的截面映射,并将截面映射进行复合从而得到系统的Poincaré回归映射.进一步讨论后继函数的零点,得到系统存在非平凡周期轨的充分条件。
The flow of differential subsystem is used to establish the section mapping on discontinuous boundaries,then the Poincaré return mapping of the system is obtained by compositing the section mapping.Finally,the sufficient conditions for the existence of nontrivial period orbits of the system are presented by discussing zero point of the successor function.
出处
《长春大学学报》
2013年第6期693-697,700,共6页
Journal of Changchun University
基金
贵州民族大学科研基金资助项目(201202)
关键词
分段光滑
周期轨
截面映射
piecewise smooth
period orbit
section mapping
