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Chimera states in networks of logistic maps with hierarchical connectivities

Author

Listed:
  • Alexander zur Bonsen

    (Institut für Theoretische Physik, Technische Universität Berlin)

  • Iryna Omelchenko

    (Institut für Theoretische Physik, Technische Universität Berlin)

  • Anna Zakharova

    (Institut für Theoretische Physik, Technische Universität Berlin)

  • Eckehard Schöll

    (Institut für Theoretische Physik, Technische Universität Berlin)

Abstract

Chimera states are complex spatiotemporal patterns consisting of coexisting domains of coherence and incoherence. We study networks of nonlocally coupled logistic maps and analyze systematically how the dilution of the network links influences the appearance of chimera patterns. The network connectivities are constructed using an iterative Cantor algorithm to generate fractal (hierarchical) connectivities. Increasing the hierarchical level of iteration, we compare the resulting spatiotemporal patterns. We demonstrate that a high clustering coefficient and symmetry of the base pattern promotes chimera states, and asymmetric connectivities result in complex nested chimera patterns.

Suggested Citation

  • Alexander zur Bonsen & Iryna Omelchenko & Anna Zakharova & Eckehard Schöll, 2018. "Chimera states in networks of logistic maps with hierarchical connectivities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(4), pages 1-12, April.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:4:d:10.1140_epjb_e2018-80630-y
    DOI: 10.1140/epjb/e2018-80630-y
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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. Khaleghi, Leyla & Panahi, Shirin & Chowdhury, Sayantan Nag & Bogomolov, Sergey & Ghosh, Dibakar & Jafari, Sajad, 2019. "Chimera states in a ring of map-based neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).

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    Keywords

    Statistical and Nonlinear Physics;

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