Bifurcation Controlling of a Nonlinear Dynamics Systemwith Time-dalays Feedback
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    Abstract:

    The van der Pol-Duffing equation, excited under the parameters with two time delays, is studied. The main aim is to study 1/2 subharmonic-primary parametrical resonance bifurcation of this system. Perturbation method is used to obtain the bifurcation equation with time-delays, and numerical method is utilized to analyze the effect of time-delays on the steady state response. The research indicates that 1/2 subharmonic-primary parametrical resonance bifurcation can be well controlled by time-delays feedback.

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History
  • Received:April 19,2005
  • Revised:
  • Adopted:
  • Online: April 08,2013
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