Chimera states in networks of logistic maps with hierarchical connectivities

Alexander zur Bonsen, Iryna Omelchenko (), Anna Zakharova and Eckehard Schöll
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 4, 1-12

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2018-80630-y

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