Chimera states in networks of logistic maps with hierarchical connectivities

  • Alexander zur Bonsen
  • Iryna Omelchenko
  • Anna Zakharova
  • Eckehard Schöll
Regular Article
  • 23 Downloads

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 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Alexander zur Bonsen
    • 1
  • Iryna Omelchenko
    • 1
  • Anna Zakharova
    • 1
  • Eckehard Schöll
    • 1
  1. 1.Institut für Theoretische Physik, Technische Universität BerlinBerlinGermany

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