IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v347y2005icp99-116.html
   My bibliography  Save this article

Stochastic resonance in overdamped two coupled anharmonic oscillators

Author

Listed:
  • Gandhimathi, V.M.
  • Murali, K.
  • Rajasekar, S.

Abstract

We consider the overdamped version of two coupled anharmonic oscillators with the external periodic force fsinωt and Gaussian noise term η(t) added to one of the two state variables of the system. Linear stability analysis is carried out in the absence of external periodic force and noise. Then, the system with external periodic force only and noise term only are studied. In the noise free system, four period-T orbits are found to co-exist, one in each of the four wells for small values of forcing amplitude f for fixed values of other parameters. At a critical value of f, fc, cross-well periodic orbit appears. fc is found to increase with increase in the coupling strength δ. In the absence of forcing, the system is found to exhibit intermittent jumping motion between two wells above a particular value of noise strength D, Dc. The noise-induced jumping behaviour is characterized by first-passage time and residence time distributions. Next, the influence of noise in the presence of the external periodic force is numerically studied. The system is found to exhibit stochastic resonance behaviour. The observed stochastic resonance dynamics is characterized using power spectrum, signal-to-noise ratio and residence time distribution. The plot of maximal Lyapunov exponent versus noise strength has shown a stochastic resonance profile. The occurrence of stochastic resonance is studied by varying the forcing frequency ω and the coupling strength δ. Finally, the influence of addition of external periodic force and noise term to different state variables is also presented.

Suggested Citation

  • Gandhimathi, V.M. & Murali, K. & Rajasekar, S., 2005. "Stochastic resonance in overdamped two coupled anharmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 99-116.
    • Handle: RePEc:eee:phsmap:v:347:y:2005:i:c:p:99-116
    DOI: 10.1016/j.physa.2004.08.081
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104011835
    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.2004.08.081?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. Gandhimathi, V.M. & Murali, K. & Rajasekar, S., 2006. "Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1034-1047.

    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:347:y:2005:i:c:p:99-116. 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.