A Note on the Solutions of the Van der Pol and Duffing Equations Using a Linearisation Method

We present a novel application of the successive linearisation method to the classical Van der Pol and Duffing oscillator equations. By recasting the governing equations as nonlinear eigenvalue problems we obtain accurate values of the frequency and amplitude. We demonstrate that the proposed method...

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Bibliographic Details
Main Authors: Sandile S. Motsa, Precious Sibanda
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/693453