| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 290492 | Journal of Sound and Vibration | 2009 | 4 Pages |
Abstract
The method of harmonic balance is used for the first time to find approximate expressions for the frequency and displacement amplitude of a degenerate torus arising in a third-order nonlinear oscillator, for a range of velocity amplitudes. The estimates compare favourably with numerically determined solutions. This development complements earlier works on the simpler situations of centres and limit cycles.
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Authors
H.P.W. Gottlieb,