• ZHENGLEI YANG

      Articles written in Pramana – Journal of Physics

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

      ZHENGLEI YANG LIJUAN NING

      More Details Abstract Fulltext PDF

      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.

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