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Chaos control in the cerium-catalyzed Belousov–Zhabotinsky reaction using recurrence quantification analysis measures

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  • Fatoorehchi, Hooman
  • Zarghami, Reza
  • Abolghasemi, Hossein
  • Rach, Randolph

Abstract

Chaos control in the Belousov–Zhabotinsky-CSTR system was investigated theoretically and experimentally by reconstructing the phase space of the cerium (IV) ions concentration time series and then optimizing recurrence quantification analysis measures. The devised feedback loop acting on the reactor inlet flow rate was able to experimentally suppress chaos and drive the system to an almost predictable state with approximately 93% determinism. Similar theoretical results have also been demonstrated in numerical simulations using the four-variable Montanator model as solved by the multistage Adomian decomposition method.

Suggested Citation

  • Fatoorehchi, Hooman & Zarghami, Reza & Abolghasemi, Hossein & Rach, Randolph, 2015. "Chaos control in the cerium-catalyzed Belousov–Zhabotinsky reaction using recurrence quantification analysis measures," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 121-129.
    • Handle: RePEc:eee:chsofr:v:76:y:2015:i:c:p:121-129
    DOI: 10.1016/j.chaos.2015.03.019
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    References listed on IDEAS

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    1. Bastos, João A. & Caiado, Jorge, 2011. "Recurrence quantification analysis of global stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1315-1325.
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    1. 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).

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