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考虑了一个具有单面碰撞约束的单自由度碰撞振动系统,建立了系统的Poincaré映射,根据映射不动点的分岔理论,系统的周期运动对应于Poincaré映射的不动点.当Poincaré映射的雅可比矩阵有一个特征值从-1处穿越单位圆时,稳定的周期轨道失稳,通过倍化分岔直到混沌.
利用OGY方法控制单自由度碰撞振动系统的混沌行为
【摘 要】
：
考虑了一个具有单面碰撞约束的单自由度碰撞振动系统,建立了系统的Poincaré映射,根据映射不动点的分岔理论,系统的周期运动对应于Poincaré映射的不动点.当Poincaré映射的
【机 构】
：
西南交通大学,力学与工程学院,四川成都610031
【出 处】
：
第七届全国动力学与控制青年学者研讨会
【发表日期】
：
2013年7期
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