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Chimera states in networks of logistic maps with hierarchical connectivities

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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.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623, Berlin, Germany

    Alexander zur Bonsen, Iryna Omelchenko, Anna Zakharova & Eckehard Schöll

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  1. Alexander zur Bonsen
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  2. Iryna Omelchenko
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  3. Anna Zakharova
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  4. Eckehard Schöll
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Correspondence to Iryna Omelchenko.

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zur Bonsen, A., Omelchenko, I., Zakharova, A. et al. Chimera states in networks of logistic maps with hierarchical connectivities. Eur. Phys. J. B 91, 65 (2018). https://doi.org/10.1140/epjb/e2018-80630-y

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