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Intermittency regimes of poorly-mixed chemical oscillators

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  • Carballosa, Alejandro
  • Muñuzuri, Alberto P.

Abstract

Perfect mixing or interaction between oscillators is almost never achieved under experimental conditions and, nevertheless, it might be crucial in understanding the observed phenomena. We propose a mathematical model that directly introduces the degree of mixing and analyze the consequences on the synchronization patterns observed. For that we considered catalyst-loaded chemical oscillators as they represent a paradigm for synchronization phenomena from the experimental and numerical point of view. In this study we explore a modified 3-variable Oregonator model where the active surrounding solution is discretized as oscillators themselves and a discrete radius of chemical exchange is introduced to account for spatial distribution and movement dynamics. We found that for low-to none levels of mixing in the system, a series of irregular states appear on the edge of phase transitions among dynamical regimes, and that several novel non-fully synchronized behaviors appear for a small window in the parameter space.

Suggested Citation

  • Carballosa, Alejandro & Muñuzuri, Alberto P., 2022. "Intermittency regimes of poorly-mixed chemical oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001308
    DOI: 10.1016/j.chaos.2022.111920
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    1. Kevin P. O’Keeffe & Hyunsuk Hong & Steven H. Strogatz, 2017. "Oscillators that sync and swarm," Nature Communications, Nature, vol. 8(1), pages 1-13, December.
    2. Z. Néda & E. Ravasz & Y. Brechet & T. Vicsek & A.-L. Barabási, 2000. "The sound of many hands clapping," Nature, Nature, vol. 403(6772), pages 849-850, February.
    3. García-Selfa, David & Ghoshal, Gourab & Bick, Christian & Pérez-Mercader, Juan & Muñuzuri, Alberto P., 2021. "Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
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