Lie-point symmetries and nonlinear dynamical systems

作     者：Cicogna, G Gaeta, G 

作者机构：LOUGHBOROUGH UNIV TECHNOL DEPT MATH LOUGHBOROUGH LE11 3TU LEICS ENGLAND 

出 版 物：《MATHEMATICAL AND COMPUTER MODELLING》 (数学与计算机模型建立)

年 卷 期：1997年第25卷第8-9期

页      面：101-113页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：nonlinear dynamical systems Lie-point symmetries approximate symmetries normal form reduction algorithmic implementation 

摘      要：Nonlinear symmetries of finite dimensional dynamical systems are related to nonlinear normal forms and center manifolds in the neighbourhood of a singular point. Certain abstract results can be used algorithmically to construct the normal forms and/or the center manifold up to a given order in the perturbation expansion. We also argue that for this task, approximate symmetries are as useful as exact ones.