IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v142y2021ics0960077920309000.html
   My bibliography  Save this article

Analytical approximation of a self-oscillatory reaction system using the Laplace-Borel transform

Author

Listed:
  • Zhai, Chi
  • Sun, Wei

Abstract

Time-symmetry breaking bifurcations cause an open system to generate complex structures/patterns, prompting the study of far-from-equilibrium and nonlinear thermodynamics. Specifically, thegeneration of self-organized chemical-wave patterns by the Belousov-Zhabotinsky reaction attractedattention from the academic community, assimilar structureswidely exist in the chemical/biological environment. However, theoretical fundamentals of these self-oscillatory structures are yet to be adequately addressed. This paper introducesa frequency-domain method for approximating the Belousov-Zhabotinskyreaction system.The nonlinear dynamics of the oscillator is estimated using the Laplace-Borel transform, which is an extension of the Laplace transform andutilizesfunctional expansions to approximate the nonlinear terms in the dynamic system.The method is applied to theBelousov-Zhabotinskyreaction model to yieldamplitude, frequency and stability characteristics near theAndronov-Hopf bifurcation points. By studying the emergence of self-oscillatory patternsusing this analytical method, new insights towardsfar-from-equilibrium and nonlinearthermodynamics are explored.

Suggested Citation

  • Zhai, Chi & Sun, Wei, 2021. "Analytical approximation of a self-oscillatory reaction system using the Laplace-Borel transform," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309000
    DOI: 10.1016/j.chaos.2020.110508
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920309000
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110508?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.

    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:142:y:2021:i:c:s0960077920309000. 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.