Normal form computation without central manifold reduction

A. Y T Leung; Q. C. Zhang

doi:10.1016/S0022-460X(02)01626-7

Normal form computation without central manifold reduction

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

33 Scopus Citations

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Author(s)

A. Y T Leung
Q. C. Zhang

Detail(s)

Original language	English
Pages (from-to)	261-279
Journal / Publication	Journal of Sound and Vibration
Volume	266
Issue number	2
Publication status	Published - 11 Sep 2003

Link(s)

DOI	DOI https://doi.org/10.1016/S0022-460X(02)01626-7 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0141788280&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b08ceb02-3c33-4f19-8a08-e4c43c3706de).html

Abstract

An efficient method for calculating the normal form and the associated non-linear transformations for the semi-simple case without central manifold reduction is given in this paper. The one-step transformation concept is adopted for easy programming. This method can be used to calculate high order normal forms of high-dimensional ordinary differential equations of non-linear oscillators. A program in MATHEMATICA language is designed to perform the calculation. Three examples are given in order to verify the method and to show the efficiency of the program.