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Stationary and oscillatory patterns in a coupled Brusselator model

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  • 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
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    Cited by:

    1. 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.
    2. 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.
    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.

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