一类高维非线性动力系统七阶规范形  

Seventh-order Normal Form of a Kind of High-dimensional Nonlinear Dynamical Systems

作　　者：何斌[1] 李丁[1] 杨召丽[1] 李静[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2010年第10期1433-1436,共4页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11072007;10732020);北京市自然科学基金资助项目(1082002)

摘　　要：利用多重李括号与带参数变换相结合的方法,对双零特征值加双曲类型的高维规范形进行了化简和研究.通过对一类高维非线性动力系统七阶规范形的计算,得到了直到七阶的规范形与四阶规范形有相同形式的结论.The normal form of high-dimension with double-zero and hyperbolic eigenvalues is further reduced and researched based on combining the technique of multi-Lie brackets and the transformation with the parameters.The conclusion is drawn that the seventh-order normal form and fourth-order normal form have the same form of high-dimension nonlinear dynamical systems.

关 键 词：高维系统 n阶规范形 参数变换 多重李括号 

分 类 号：O175.1[理学—数学]