IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v90y2017i8d10.1140_epjb_e2017-80118-4.html
   My bibliography  Save this article

Coherence and stochastic resonance in a birhythmic van der Pol system

Author

Listed:
  • René Yamapi

    (Fundamental Physics Laboratory, Department of Physics, Faculty of Science, University of Douala
    Max Planck Institute for Mathematics in the Sciences
    Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I)

  • André Chéagé Chamgoué

    (Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I)

  • Giovanni Filatrella

    (Dept. of Sciences and Technology and Salerno unit of CNSIM, University of Sannio)

  • Paul Woafo

    (Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I)

Abstract

We consider the response to uncorrelated noise and harmonic excitation of a birhythmic van der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is characterized by two stable orbits. The noisy oscillator can be analytically mapped, with the technique of stochastic averaging, onto an ordinary bistable system with a bistable (quasi)potential. The birhythmic oscillator can also be numerically characterized through the diagnostics of coherent resonance and the signal-to-noise-ratio. The analysis shows the presence of noise-induced coherent states, influenced by the different time scales of the oscillator.

Suggested Citation

  • René Yamapi & André Chéagé Chamgoué & Giovanni Filatrella & Paul Woafo, 2017. "Coherence and stochastic resonance in a birhythmic van der Pol system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-16, August.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:8:d:10.1140_epjb_e2017-80118-4
    DOI: 10.1140/epjb/e2017-80118-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2017-80118-4
    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/e2017-80118-4?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. Fu, Peng & Wang, Can-Jun & Yang, Ke-Li & Li, Xu-Bo & Yu, Biao, 2022. "Reentrance-like vibrational resonance in a fractional-order birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Semenov, Vladimir V., 2018. "Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 358-364.
    3. Mbakob Yonkeu, R. & David, Afungchui, 2022. "Coherence and stochastic resonance in the fractional-birhythmic self-sustained system subjected to fractional time-delay feedback and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:90:y:2017:i:8:d:10.1140_epjb_e2017-80118-4. 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.