Normal form computation without central manifold reduction
Author(s)
Author(s)
Zhang, Q. C.
Date Issued
2003
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
266
Issue
2
Start page
261
End page
279
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.
SFU Affiliated Publication
No
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