IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v174y2023ics0960077923006847.html
   My bibliography  Save this article

Effect of diffusion on steady state stability of an oscillatory reaction model

Author

Listed:
  • Maćešić, Stevan
  • Čupić, Željko
  • Kolar-Anić, Ljiljana

Abstract

The effect of diffusion on the steady-state stability of an oscillatory chemical reaction model was investigated using stoichiometric network analysis and numerical simulations. Under both spatially uniform and nonuniform conditions, steady-state stability was investigated. Under spatially uniform conditions, the model can simulate oscillatory dynamics by passing through the Andronov-Hopf bifurcation. When diffusion is introduced into the system, the results have shown that two scenarios through which instabilities can occur are possible. Either, oscillations may be caused by the same instability as it was in homogeneous case, or, diffusion may cause new type of instability. Using the exponent polytope method, we derived a system of inequalities that describes the conditions for the emergence of both, oscillations, and diffusion-driven instabilities.

Suggested Citation

  • Maćešić, Stevan & Čupić, Željko & Kolar-Anić, Ljiljana, 2023. "Effect of diffusion on steady state stability of an oscillatory reaction model," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
  • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006847
    DOI: 10.1016/j.chaos.2023.113783
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923006847
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113783?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.

    References listed on IDEAS

    as
    1. Juan Manuel Parrilla-Gutierrez & Abhishek Sharma & Soichiro Tsuda & Geoffrey J. T. Cooper & Gerardo Aragon-Camarasa & Kevin Donkers & Leroy Cronin, 2020. "A programmable chemical computer with memory and pattern recognition," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fabian Schnitter & Benedikt Rieß & Christian Jandl & Job Boekhoven, 2022. "Memory, switches, and an OR-port through bistability in chemically fueled crystals," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    2. Ahmed A. Agiza & Kady Oakley & Jacob K. Rosenstein & Brenda M. Rubenstein & Eunsuk Kim & Marc Riedel & Sherief Reda, 2023. "Digital circuits and neural networks based on acid-base chemistry implemented by robotic fluid handling," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    3. Abhishek Sharma & Marcus Tze-Kiat Ng & Juan Manuel Parrilla Gutierrez & Yibin Jiang & Leroy Cronin, 2024. "A programmable hybrid digital chemical information processor based on the Belousov-Zhabotinsky reaction," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Karimov, Artur & Kopets, Ekaterina & Karimov, Timur & Almjasheva, Oksana & Arlyapov, Viacheslav & Butusov, Denis, 2023. "Empirically developed model of the stirring-controlled Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    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:174:y:2023:i:c:s0960077923006847. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.