Bifurcation control of a parametrically excited Duffing system

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

60 Scopus Citations
View graph of relations

Author(s)

  • J. C. Ji
  • A. Y T Leung

Detail(s)

Original languageEnglish
Pages (from-to)411-417
Journal / PublicationNonlinear Dynamics
Volume27
Issue number4
Publication statusPublished - Mar 2002

Abstract

A linear time-delayed feedback control is used to delay the occurrence of pitchfork bifurcations and to eliminate saddle-node bifurcations, which may arise in the nonlinear response of a parametrically excited Duffing system under the principal parametric resonance. The feedback gains and the time delay are chosen by analyzing the modulation equations of the amplitude and the phase. It is shown that by using an appropriate feedback control, the stable region of the trivial solutions can be broadened, a discontinuous bifurcation can be transformed into a continuous one, and the jump phenomenon in the resonance response can be removed.

Research Area(s)

  • Bifurcation control, Duffing system, Linear feedback, Principal parametric resonance, Time delay

Citation Format(s)

Bifurcation control of a parametrically excited Duffing system. / Ji, J. C.; Leung, A. Y T.
In: Nonlinear Dynamics, Vol. 27, No. 4, 03.2002, p. 411-417.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review