Normal form analysis of Hopf bifurcation exemplified by Duffing's equation
Author(s)
Author(s)
Zhang, Q.
Chen, Y.
Date Issued
1994
Publisher
Hindawi Publishing Corporation
Journal
Shock and Vibration
Volume
1
Issue
3
Start page
233
End page
240
Abstract
A method is proposed for calculating the normal form coefficients of the degenerate Hopf bifurcation system and the steady periodic solutions of a nonlinear vibration system. The results obtained by this method are the same as those obtained by the classical one. The present method is much simpler and can easily be implemented: that is, given the coefficients of the governing equations, the response is obtained directly by substitution.
SFU Affiliated Publication
No
Availability at SFU Library
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