IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v97y2024i1d10.1140_epjb_s10051-023-00645-5.html
   My bibliography  Save this article

Resonance behavior for a fractional underdamped bistable system with multiplicative and additive noise driven by one high-frequency and one low-frequency periodic signal

Author

Listed:
  • Zhiqi Huang

    (University of Electronic Science and Technology of China
    Karamay Campus, China University of Petroleum (Beijing))

  • Feng Guo

    (Southwest University of Science and Technology)

Abstract

The stochastic resonance (SR) phenomenon for a fractional underdamped bistable system with multiplicative and additive noise driven by one high-frequency and one low-frequency periodic signal is investigated. The Fokker–Plank equation of the system for the low-frequency motion and the transition rate out of the system stable states are obtained. The signal-to-noise ratio (SNR) is derived based on two-state theory. It is shown that bona fide SR and bona fide vibration resonance (VR) phenomenon occur when the SNR varies with the frequency of the low-frequency signal and with that of the high-frequency signal, respectively. Single resonance peak appears when the SNR changes with the increase of the fractional exponent. Damping-induced SR takes place on the SNR curves versus the system damping coefficient. The SNR obtains one maximum value at certain levels of the multiplicative and additive noise. Graphical abstract

Suggested Citation

  • Zhiqi Huang & Feng Guo, 2024. "Resonance behavior for a fractional underdamped bistable system with multiplicative and additive noise driven by one high-frequency and one low-frequency periodic signal," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(1), pages 1-12, January.
  • Handle: RePEc:spr:eurphb:v:97:y:2024:i:1:d:10.1140_epjb_s10051-023-00645-5
    DOI: 10.1140/epjb/s10051-023-00645-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-023-00645-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1140/epjb/s10051-023-00645-5?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.

    More about this item

    Statistics

    Access and download statistics

    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:spr:eurphb:v:97:y:2024:i:1:d:10.1140_epjb_s10051-023-00645-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.