• Corpus ID: 118221513

Active Control of the Parametric Resonance in the Modified Rayleigh-Duffing Oscillator

  title={Active Control of the Parametric Resonance in the Modified Rayleigh-Duffing Oscillator},
  author={Cl{\'e}ment Hod{\'e}v{\`e}wan Miwadinou and Adjimon Vincent Monwanou and Jean Bio Chabi Orou},
  journal={arXiv: Fluid Dynamics},
The present paper examines the active control of parametric resonance in modified Rayleigh-Duffing oscillator. We used the method of averaging to obtain steady-state solutions. We have found the critical value of the parametrical amplitude which indicates the boundary layer where the control is efficient in reducing the amplitude vibration. We have also found the effects of excitation parameters and time-delay on dynamical of this system with the principal parametric resonance. We have obtained… 

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