IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i3p574-578.html
   My bibliography  Save this article

Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals

Author

Listed:
  • Landa, P.
  • Ushakov, V.
  • Kurths, Jürgen

Abstract

The results of the theoretical consideration of stochastic resonance in overdamped bistable oscillators are given. These results are founded not on the model of two states as in [McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys Rev A 1989;39:4854–69], but on splitting of motion into regular and random and the rigorous solution of the Fokker–Planck equation for the random component. We show that this resonance is caused by a change, under the influence of noise, of the system’s effective stiffness and damping factor contained in the equation for the regular component. For a certain value of the noise intensity the effective stiffness is minimal, and this fact causes non-monotonic change of the output signal amplitude as the noise intensity changes. It is important that the location of the minimum and its value depend essentially on the signal frequency.

Suggested Citation

  • Landa, P. & Ushakov, V. & Kurths, Jürgen, 2006. "Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 574-578.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:574-578
    DOI: 10.1016/j.chaos.2005.08.116
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905007630
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.08.116?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:eee:chsofr:v:30:y:2006:i:3:p:574-578. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.