IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v512y2018icp230-240.html
   My bibliography  Save this article

Stochastic resonance in an under-damped linear system with nonlinear frequency fluctuation

Author

Listed:
  • Zhang, Gang
  • Shi, Jiabei
  • Zhang, Tianqi

Abstract

Stochastic resonance (SR) in a second-order under-damped linear system with nonlinear frequency fluctuation is investigated, and the nonlinear frequency fluctuation is modeled as dichotomous noise. Firstly, by the use of the Shapiro–Loginov formula and the Laplace transform technique, the analytical expression for the average amplitude gain of the system output is obtained. Then, the non-monotonic behaviors of the average amplitude gain are analyzed. Finally, numerical simulations are presented to verify the effectiveness of the analytical results. Simulation results show that, with the variations of system parameters and noise parameters, the average amplitude gain shows SR and multi-SR phenomena. In addition, the bona fide resonance can be observed by adjusting the frequency fluctuation coefficients. In conclusion all the results show that the nonlinear character of frequency fluctuation plays a key role in system’s resonance behavior. Therefore, by introducing nonlinear frequency fluctuation into the linear system, we can control SR in the system in a certain range, and it has promising feasibility in practical engineering application.

Suggested Citation

  • Zhang, Gang & Shi, Jiabei & Zhang, Tianqi, 2018. "Stochastic resonance in an under-damped linear system with nonlinear frequency fluctuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 230-240.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:230-240
    DOI: 10.1016/j.physa.2018.08.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118309609
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2018.08.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. He, Lifang & Wu, Xia & Zhang, Gang, 2020. "Stochastic resonance in coupled fractional-order linear harmonic oscillators with damping fluctuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Vishwamittar, & Batra, Priyanka & Chopra, Ribhu, 2021. "Stochastic resonance in two coupled fractional oscillators with potential and coupling parameters subjected to quadratic asymmetric dichotomous noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:230-240. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.