张亚欣;黄晴;

• 1:西北大学数学学院

摘要(Abstract)：

利用动力系统的守恒积分构造Poisson结构,将动力系统表示为广义Hamilton系统的形式,并以一个三维动力系统为例,通过添加任意可微函数推广守恒积分,构造系统的可积变形,并给出变形后系统的Poisson结构,由此得到了新的刘维尔可积系统.

关键词(KeyWords)： 动力系统;Poisson结构;广义Hamilton系统;守恒积分;可积变形

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11871396)

作者(Authors): 张亚欣;黄晴;

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