• Nonlinear resonance in Duffing oscillator with fixed and integrative time-delayed feedbacks

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      https://www.ias.ac.in/article/fulltext/pram/078/03/0347-0360

    • Keywords

       

      Duffing oscillator; nonlinear resonance; time-delayed feedback; hysteresis.

    • Abstract

       

      We study the nonlinear resonance, one of the fundamental phenomena in nonlinear oscillators, in a damped and periodically-driven Duffing oscillator with two types of time-delayed feedbacks, namely, fixed and integrative. Particularly, we analyse the effect of the time-delay parameter 𝛼 and the strength 𝛾 of the time-delayed feedback. Applying the perturbation theory we obtain a nonlinear equation for the amplitude of the periodic response of the system. For a range of values of 𝛾 and 𝛼, the response amplitude is found to be higher than that of the system in the absence of delayed feedback. The response amplitude is periodic on the parameter 𝛼 with period $2\pi /\omega$ where 𝜔 is the angular frequency of the external periodic force. We show the occurrence of multiple branches of the response amplitude curve with and without hysteresis.

    • Author Affiliations

       

      V Ravichandran1 V Chinnathambi1 S Rajasekar2

      1. Department of Physics, Sri K.G.S. Arts College, Srivaikuntam 628 619, India
      2. School of Physics, Bharathidasan University, Thiruchirapalli 620 024, India
    • Dates

       
  • Pramana – Journal of Physics | News

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