• Vibrational resonance in a harmonically trapped potential system with time delay

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      https://www.ias.ac.in/article/fulltext/pram/092/06/0089

    • Keywords

       

      Vibrational resonance; time delay; signal amplification; harmonically trapped potential

    • Abstract

       

      This paper is focussed on investigating the effect of linear time delay on vibrational resonance of a harmonically trapped potential system driven by a biharmonic external force with two wildly different frequencies$\omega$ and $\Omega$ with $\omega \ll \Omega$. Firstly, the approximate analytical expression of the response amplitude $\mathcal{Q}$ at the low frequency $\omega$ is obtained by means of the direct separation of the slow and fast motions, and then we verified the numerical simulation by using the fourth-order Runge–Kutta method and found that it is in good agreement with the theoretical analysis. Next, the influence of the time-delay parameters on the vibrational resonance are discussed. There are some meaningful conclusions. If $\tau$ is a controllable parameter, the response amplitude $\mathcal{Q}$ not only exhibits periodicity but also can be amplified via the cooperation of $F$ and $\tau$ . If the time-delay intensity parameter $r$ is a controllable parameter, the response amplitude $\mathcal{Q}$ is found to be much larger than that in the absence of time delay. Moreover, adjusting $r$ can result in a better response than adjusting $\tau$ . This undoubtedly gives us a superior way to amplify the weak low-frequency signal.

    • Author Affiliations

       

      ZHENGLEI YANG1 LIJUAN NING1

      1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
    • Dates

       
  • Pramana – Journal of Physics | News

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