摘要
考虑了具有双侧刚性约束的正弦型周期性受迫的倒置单摆的双碰撞周期轨道.通过双碰撞周期轨道的特性,利用正弦函数性质和函数单调性技巧,给出了两类双碰撞周期轨道存在性的充分必要条件.
Two types of double impact periodic orbits of a sinusoidal periodically forced inverted pendulum with bilateral rigid barriers are investigated in this paper.Thanks for the characteristic of the double impact periodic orbits,by employing the nature of sinusoidal function and the monotonicity of function,the sufficient and necessary conditions for the existence of these orbits are proved.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第2期150-153,共4页
Journal of Sichuan Normal University(Natural Science)
基金
中央高校基本科研业务费专项基金(2010SCU21005)资助项目
关键词
倒置单摆
双碰撞周期轨
分段光滑动力系统
inverted pendulum
double impact periodic orbit
piecewise smooth system