Finally, the MAPLE symbolic program for calculating the third order normal form is given. The concrete normal form of six dimensional nonlinear systems is obtained.
最后用MAPLE符号算法语言编写计算程序，给出了六维非线性系统的三阶规范形的具体形式。
An improved adjoint operator method is employed to compute the third order normal form of six dimensional nonlinear dynamical systems and the associated nonlinear transformation for the first time.
本文首次用一种改进的共轭算子法研究了六维非线性系统的三阶规范形以及所用的非线性变换。
Lyapunov's functions of a type of nonlinear third-order systems are constituted in this paper, and sufficient conditions assuring the global asymptotic stability of the trivial solutions are given.
在本文中，构造出了一类三阶非线性系统李雅普·诺夫函数，并给出这些系统全局渐近稳定的充分条件。
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