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Turing instability in nonlinear chemical oscillators coupled via an active medium

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  • Mussa Juane, Mariamo
  • García-Selfa, David
  • Muñuzuri, Alberto P.

Abstract

Nonlinear chemical oscillators have attracted a great deal of interest in the scientific community due to the wide range of non-trivial behaviors they exhibit and also due to their ability to reproduce behaviors found in nature. We consider this system and mathematically propose a different description based on a network-type topology. Within this context, we demonstrate the existence of a new type of behavior, induced by a Turing instability, characterized by the existence of two sets of chemical oscillators with different properties. The parameters of the model are analyzed and the influence on the collective behavior described.

Suggested Citation

  • Mussa Juane, Mariamo & García-Selfa, David & Muñuzuri, Alberto P., 2020. "Turing instability in nonlinear chemical oscillators coupled via an active medium," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300023
    DOI: 10.1016/j.chaos.2020.109603
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    References listed on IDEAS

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    Cited by:

    1. Liqin Liu & Chunrui Zhang, 2023. "Multiple Hopf Bifurcations of Four Coupled van der Pol Oscillators with Delay," Mathematics, MDPI, vol. 11(23), pages 1-16, November.

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