IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v133y2017icp39-46.html
   My bibliography  Save this article

Stationary and oscillatory patterns in a coupled Brusselator model

Author

Listed:
  • Anguelov, Roumen
  • Stoltz, Stephanus Marnus

Abstract

This paper presents a numerical investigation into the pattern formation mechanism in the Brusselator model focusing on the interplay between the Hopf and Turing bifurcations. The dynamics of a coupled Brusselator model is studied in terms of wavelength and diffusion, thus providing insight into the generation of stationary and oscillatory patterns. The expected asymptotic behavior is confirmed by numerical simulations. The observed patterns include inverse labyrinth oscillations, inverse hexagonal oscillations, dot hexagons and parallel lines.

Suggested Citation

  • Anguelov, Roumen & Stoltz, Stephanus Marnus, 2017. "Stationary and oscillatory patterns in a coupled Brusselator model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 39-46.
    • Handle: RePEc:eee:matcom:v:133:y:2017:i:c:p:39-46
    DOI: 10.1016/j.matcom.2015.06.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475415001111
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2015.06.002?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. Chapwanya, Michael & Dumani, Phindile, 2023. "Stationary and oscillatory patterns in microbial population under environmental stress," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 370-383.
    2. Nazimuddin, A.K.M. & Kabir, M. Humayun & Gani, M. Osman, 2023. "Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 577-591.
    3. Llibre, Jaume & Valls, Clàudia, 2020. "Global qualitative dynamics of the Brusselator system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 107-114.

    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:matcom:v:133:y:2017:i:c:p:39-46. 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/mathematics-and-computers-in-simulation/ .

    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.