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倒置单摆的双碰撞周期轨的存在性

The Existence of Double Impact Periodic Orbits for an Inverted Pendulum
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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.
作者 申俊 杜正东
机构地区 四川大学数学学院
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
分类号 O175.14 [理学—基础数学] O322 [理学—一般力学与力学基础]
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参考文献15

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二级参考文献21

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四川师范大学学报（自然科学版）
2011年 第2期

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