Publications [#281318] of Kenneth C. Hall
- Liu, L; Thomas, JP; Dowell, EH; Attar, P; Hall, KC, A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator,
Journal of Computational Physics, vol. 215 no. 1
pp. 298-320, Elsevier BV, ISSN 0021-9991 , [doi]
(last updated on 2020/07/04)
The present study focuses on a novel harmonic balance formulation, which is much easier to implement than the standard/classical harmonic balance method for complex nonlinear mathematical models and algorithms. Both harmonic balance approaches are applied to Duffing's oscillator to demonstrate the advantages and disadvantages of the two approaches. A fundamental understanding of the difference between these two methods is achieved, and the properties of each method are analyzed in detail. © 2005 Elsevier Inc. All rights reserved.
bifurcation;nonlinear dynamical systems;numerical analysis;oscillations;