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DY: Fachverband Dynamik und Statistische Physik

DY 54: Posters - Pattern Formation, Reaction Diffusion, Chimera

DY 54.3: Poster

Donnerstag, 23. März 2017, 17:00–19:30, P1A

Chimera states in networks of Van der Pol oscillators with hierarchical connectivities — Jakub Sawicki, Stefan Ulonska, Iryna Omelchenko, Anna Zakharova, and •Eckehard Schöll — Institut für Theoretische Physik, Technische Universität Berlin, Germany

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We analyse chimera states in networks of Van der Pol oscillators with hierarchical (fractal) connectivities [1]. We investigate the stepwise transition from a nonlocal to a hierarchical topology, and adapt various quantifications to establish a link between the existence of chimera states and the compactness of the initial base pattern of a hierarchical topology; we show that a large clustering coefficient promotes the occurrence of chimeras. Depending on the level of hierarchy and base pattern, we obtain chimera states with different numbers of incoherent domains. We investigate the chimera regimes as a function of coupling strength and nonlinearity parameter of individual oscillators.

[1] S. Ulonska, I. Omelchenko, A. Zakharova, and E. Schöll, Chaos 26, 094825 (2016)