【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.更多还原

【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.更多还原