Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method

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

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Original languageEnglish
Pages (from-to)213-233
Journal / PublicationNonlinear Dynamics
Issue number3
Publication statusPublished - 1996


The perturbation-incremental method is applied to determine the separatrices and limit cycles of strongly nonlinear oscillators. Conditions are derived under which a limit cycle is created or destroyed. The latter case may give rise to a homoclinic orbit or a pair of heteroclinic orbits. The limit cycles and the separatrices can be calculated to any desired degree of accuracy. Stability and bifurcations of limit cycles will also be discussed. © 1996 Kluwer Academic Publishers.

Research Area(s)

  • Global bifurcation, Homoclinic (heteroclinic) orbits, Limit cycles, Strongly nonlinear oscillators