A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom

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

Overview

33 Scopus Citations

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Author(s)

K. W. Chung
C. L. Chan
Z. Xu
G. M. Mahmoud

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	243-259
Journal / Publication	Nonlinear Dynamics
Volume	28
Issue number	3-4
Publication status	Published - May 2002

Link(s)

DOI	DOI https://doi.org/10.1023/A:1015620928121 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0036575679&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(0951fe4b-a39b-4607-874a-c5970a879745).html

Abstract

The perturbation-incremental method is extended to determine the bifurcations and limit cycles of strongly nonlinear autonomous oscillators with many degrees of freedom. Coupled van der Pol oscillators and coupled Rayleigh oscillators are taken as numerical examples. Limit cycles of the oscillators can be calculated to any desired degree of accuracy. The stabilities of limit cycles are also discussed.

Research Area(s)

Bifurcation, Floquet method, Limit cycles, Strongly nonlinear coupled oscillators

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Degree of Freedom Engineering

Oscillator Engineering

Limit Cycle Engineering

Numerical Example Engineering

Van Der Pol Oscilla... Engineering

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Citation Format(s)

[ RIS ] [ BibTeX ]

A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom. / Chung, K. W.; Chan, C. L.; Xu, Z. et al.
In: Nonlinear Dynamics, Vol. 28, No. 3-4, 05.2002, p. 243-259.

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

Chung, KW, Chan, CL, Xu, Z & Mahmoud, GM 2002, 'A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom', Nonlinear Dynamics, vol. 28, no. 3-4, pp. 243-259. https://doi.org/10.1023/A:1015620928121

Chung, K. W., Chan, C. L., Xu, Z., & Mahmoud, G. M. (2002). A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom. Nonlinear Dynamics, 28(3-4), 243-259. https://doi.org/10.1023/A:1015620928121

Chung KW, Chan CL, Xu Z, Mahmoud GM. A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom. Nonlinear Dynamics. 2002 May;28(3-4):243-259. doi: 10.1023/A:1015620928121

Chung, K. W. ; Chan, C. L. ; Xu, Z. et al. / A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom. In: Nonlinear Dynamics. 2002 ; Vol. 28, No. 3-4. pp. 243-259.