| 一类高维非线性动力系统七阶规范形 |
| |
| 引用本文： | 何斌,李丁,杨召丽,李静.一类高维非线性动力系统七阶规范形[J].北京工业大学学报,2010,36(10). |
| |
| 作者姓名： | 何斌 李丁 杨召丽 李静 |
| |
| 作者单位： | 北京工业大学,应用数理学院,北京,100124;北京工业大学,应用数理学院,北京,100124;北京工业大学,应用数理学院,北京,100124;北京工业大学,应用数理学院,北京,100124 |
| |
| 基金项目： | 国家自然科学基金资助项目，北京市自然科学基金资助项目 |
| |
| 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.
|
| 关 键 词： | 高维系统 n阶规范形 参数变换 多重李括号 |
Seventh-order Normal Form of a Kind of High-dimensional Nonlinear Dynamical Systems |
| |
| HE Bin,LI Ding,YANG Zhao-li,LI Jing.Seventh-order Normal Form of a Kind of High-dimensional Nonlinear Dynamical Systems[J].Journal of Beijing Polytechnic University,2010,36(10). |
| |
| Authors: | HE Bin LI Ding YANG Zhao-li LI Jing |
| |
| Affiliation: | HE Bin,LI Ding,YANG Zhao-li,LI Jing(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | high-dimensional system n-order normal form transformation with the parameters multi-Lie brackets |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
