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The cellular automata inside optical chimera states

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  • Ayyad, Marouane
  • Coulibaly, Saliya

Abstract

Cellular automata are conceptual discrete dynamical systems useful in the theory of information. The spatiotemporal patterns that they produce are intimately related to computational mechanics in distributed complex systems. Here, we investigate their physical implementation in the framework of chimera states in which coherent and incoherent behavior coexist. Hence, chimera states were subject to quantitative and qualitative analyzes borrowing the same tools used to characterize cellular automata. Our results reveal the existence of cellular automata-type dynamics submerged in the dynamics exhibited by our optical chimera states. Thus, they share a panoply of attributes in terms of computational abilities.

Suggested Citation

  • Ayyad, Marouane & Coulibaly, Saliya, 2021. "The cellular automata inside optical chimera states," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s096007792100878x
    DOI: 10.1016/j.chaos.2021.111524
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    References listed on IDEAS

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    1. Ninagawa, S., 2015. "Dynamics of universal computation and 1/f noise in elementary cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 42-48.
    2. Alvarez-Socorro, A.J. & Clerc, M.G. & Ferré, M.A., 2020. "Wandering walk of chimera states in a continuous medium," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Martin, M.T. & Plastino, A. & Rosso, O.A., 2006. "Generalized statistical complexity measures: Geometrical and analytical properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 439-462.
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    Cited by:

    1. Ferré, M.A., 2023. "Critical visit to the chimera world," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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