This paper develops a new computation method for obtaining a significant refinement of the normal forms for high dimensional nonlinear systems. Several explicit formulae are derived herein, which can be used to compute the coefficients of the simplest normal form and the associated nonlinear transformation. Through the illustrative example, the feasibility and merit of this novel method are also demonstrated and discussed.
陈淑萍,张伟.一类求解非线性动力系统高阶规范形的新方法[J].动力学与控制学报,2013,11(3):193~198; Chen Shuping, Zhang Wei. A new approach for computing normal forms of high dimensional nonlinear systems[J]. Journal of Dynamics and Control,2013,11(3):193-198.
