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Laser chimeras as a paradigm for multistable patterns in complex systems

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  • Laurent Larger

    (Institut FEMTO-ST, UMR 6174, Université Bourgogne Franche-Comté, CNRS)

  • Bogdan Penkovsky

    (Institut FEMTO-ST, UMR 6174, Université Bourgogne Franche-Comté, CNRS)

  • Yuri Maistrenko

    (Institut FEMTO-ST, UMR 6174, Université Bourgogne Franche-Comté, CNRS
    Institute of Mathematics, Center for Medical and Biotechnical Research, NAS of Ukraine)

Abstract

A chimera state is a rich and fascinating class of self-organized solutions developed in high-dimensional networks. Necessary features of the network for the emergence of such complex but structured motions are non-local and symmetry breaking coupling. An accurate understanding of chimera states is expected to bring important insights on deterministic mechanism occurring in many structurally similar high-dimensional dynamics such as living systems, brain operation principles and even turbulence in hydrodynamics. Here we report on a powerful and highly controllable experiment based on an optoelectronic delayed feedback applied to a wavelength tuneable semiconductor laser, with which a wide variety of chimera patterns can be accurately investigated and interpreted. We uncover a cascade of higher-order chimeras as a pattern transition from N to N+1 clusters of chaoticity. Finally, we follow visually, as the gain increases, how chimera state is gradually destroyed on the way to apparent turbulence-like system behaviour.

Suggested Citation

  • Laurent Larger & Bogdan Penkovsky & Yuri Maistrenko, 2015. "Laser chimeras as a paradigm for multistable patterns in complex systems," Nature Communications, Nature, vol. 6(1), pages 1-7, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8752
    DOI: 10.1038/ncomms8752
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    Cited by:

    1. Dogonasheva, Olesia & Kasatkin, Dmitry & Gutkin, Boris & Zakharov, Denis, 2021. "Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Rybalova, E.V. & Zakharova, A. & Strelkova, G.I., 2021. "Interplay between solitary states and chimeras in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Ferré, M.A., 2023. "Critical visit to the chimera world," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Semenov, Vladimir V. & Bukh, Andrei V. & Semenova, Nadezhda, 2023. "Delay-induced self-oscillation excitation in the Fitzhugh–Nagumo model: Regular and chaotic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    5. Xiuqi Wu & Ying Zhang & Junsong Peng & Sonia Boscolo & Christophe Finot & Heping Zeng, 2022. "Farey tree and devil’s staircase of frequency-locked breathers in ultrafast lasers," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    6. Shepelev, I.A. & Bukh, A.V. & Strelkova, G.I., 2022. "Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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