摘要
研究一类具有3个参数的连续分段线性微分动力系统的异宿轨的存在性.利用光滑子系统的流建立切换流形上的Poincare映射,并结合Taylor展开等方法,证明系统在一定参数条件下存在简单二维异宿轨.
The existence of heteroclinic orbits for a three-parametric family of continuous piecewise linear systems is studied. Using Poincare maps established by the flow of smooth subsystems on switch manifold,and combining with Taylor series expansion method,the existence of a simple 2-dimensional heteroclinic orbit under certain parametric conditions is proved.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2016年第3期377-381,共5页
Journal of Sichuan Normal University（Natural Science）
基金
贵州省科技厅联合基金(黔科合LH字[2014]7377)
