一种构造高维Nilpotent正规型的方法

来源 :力学学报 | 被引量 : 0次 | 上传用户：hohohaha125

【摘要】

：

正规型方法是一种有效的简化一类非线性方程的方法.今提出了一种简便的代数方法去构造高维非线性系统的Nilpotent范式.通过引入一系列简单的变换和代数运算,而无需求解任何偏

【作者】

：

张伟亿

【机构】

：

天津大学力学,Department of Systems Design Eng.,天津大学力学系,

【出处】

：

力学学报

【发表日期】

：

2004年期

【关键词】

：

代数方法系列变换高维非线性系统 Nilpotent范式

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正规型方法是一种有效的简化一类非线性方程的方法.今提出了一种简便的代数方法去构造高维非线性系统的Nilpotent范式.通过引入一系列简单的变换和代数运算,而无需求解任何偏微分方程,即可得到高维非线性系统的Nilpotent范式.以四维非线性系统为例介绍这个方法,该方法完全适用于分析高于四维的非线性系统的Nilpotent范式.

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一种构造高维Nilpotent正规型的方法

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