Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 58: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)

DY 58.11: Talk

Thursday, March 15, 2018, 12:45–13:00, BH-N 128

Chimera states in networks of logistic maps with hierarchical connectivities — •Alexander zur Bonsen, Iryna Omelchenko, Anna Zakharova, and Eckehard Schöll — Institut für Theoretische Physik, Technische Universität Berlin, Germany

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.

A. zur Bonsen, I. Omelchenko, A. Zakharova, and E. Schöll, Chimera states in networks of logistic maps with hierarchical connectivities. arXiv:1711.03287 (2017)