Papers Published

  1. Liu, L. and Thomas, J.P. and Dowell, E.H. and Attar, P. and Hall, K.C., A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator, J. Comput. Phys. (USA), vol. 215 no. 1 (2006), pp. 298 - 320 [026] .
    (last updated on 2007/04/10)

    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. [All rights reserved Elsevier]

    bifurcation;nonlinear dynamical systems;numerical analysis;oscillations;