Improved harmonic balance approach to periodic solutions of non-linear jerk equations

B. S. Wu; C. W. Lim; W. P. Sun

doi:10.1016/j.physleta.2006.01.020

Author(s)

B. S. Wu
C. W. Lim
W. P. Sun

Detail(s)

Original language	English
Pages (from-to)	95-100
Journal / Publication	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	354
Issue number	1-2
Publication status	Published - 22 May 2006

Link(s)

DOI	DOI https://doi.org/10.1016/j.physleta.2006.01.020 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-33646102697&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(3be32f22-a535-4a02-b05d-b60b1a0184a0).html

Abstract

An analytical approximate approach for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. This approach incorporates salient features of both Newton's method and the method of harmonic balance. By appropriately imposing the method of harmonic balance to the linearized equation, the approach requires only one or two iterations to predict very accurate analytical approximate solutions for a large range of initial velocity amplitude. One typical example is used to verify and illustrate the usefulness and effectiveness of the proposed approach. © 2006 Elsevier B.V. All rights reserved.

Research Area(s)

Analytical approximation, Harmonic balance, Linearization, Non-linear jerk equations, Periodic solutions

Citation Format(s)

[ RIS ] [ BibTeX ]

Improved harmonic balance approach to periodic solutions of non-linear jerk equations. / Wu, B. S.; Lim, C. W.; Sun, W. P.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 354, No. 1-2, 22.05.2006, p. 95-100.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Wu, BS, Lim, CW & Sun, WP 2006, 'Improved harmonic balance approach to periodic solutions of non-linear jerk equations', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 354, no. 1-2, pp. 95-100. https://doi.org/10.1016/j.physleta.2006.01.020

Wu, B. S., Lim, C. W., & Sun, W. P. (2006). Improved harmonic balance approach to periodic solutions of non-linear jerk equations. Physics Letters, Section A: General, Atomic and Solid State Physics, 354(1-2), 95-100. https://doi.org/10.1016/j.physleta.2006.01.020

Wu BS, Lim CW, Sun WP. Improved harmonic balance approach to periodic solutions of non-linear jerk equations. Physics Letters, Section A: General, Atomic and Solid State Physics. 2006 May 22;354(1-2):95-100. doi: 10.1016/j.physleta.2006.01.020

Wu, B. S. ; Lim, C. W. ; Sun, W. P. / Improved harmonic balance approach to periodic solutions of non-linear jerk equations. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2006 ; Vol. 354, No. 1-2. pp. 95-100.