Calculation of High-Order Normal form of Multi-Dimensional Nonlinear Dynamical System

摘要：

Calculating normal form is one of the main methods on studying nonlinear dynamical system. Finding the general normal form is one of the two main parts in the calculating. There are matrix-expressing, conjugate-operator and Lie-algebra methods, which can be used. The matrix-expressing method is suitable for being mechanized. In this paper, a Mathematica package is presented for calculating normal form with matrix-expressing method combined symmetric theory. With the symbolic deduction, the package possesses generality in calculating the general normal form of semi-simple case and non-semi-simple case. It can be used for calculating high order normal form of multidimensional dynamical systems.

关键词： normal form nearly-identity transformation symmetric theory Mathematica

作者: Dongwei Huang Hongli Wang

作者单位: School of Science, Tianjin Polytechnic University, Tianjin, 300160, China College of Mechanical Engineering, Tianjin University Tianjin, 300072, China

会议类型: 国际会议

会议名称: Third International Conference on Information and Computing(第三届信息与计算科学国际会议 ICIC 2010)

会议地点: 无锡

会议语种:英文

页码: 331-334

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）