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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)243-259
Journal / PublicationNonlinear Dynamics
Volume28
Issue number3-4
Publication statusPublished - May 2002

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