Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 14: Focus Session: Chimera states: symmetry-breaking in dynamical networks (joint session DY/ BP)

DY 14.6: Talk

Tuesday, March 17, 2015, 11:45–12:00, BH-N 243

Chimera states in Van der Pol oscillators: Impact of local dynamics and time delay — •Iryna Omelchenko¹, Anna Zakharova¹, Julien Siebert¹, Philipp Hövel^1,2, and Eckehard Schöll¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin — ²Bernstein Center for Computational Neuroscience, Berlin

We discuss the phenomena of chimera states that exhibit spatial coexistence of regular synchronized and irregular incoherent regions in a network of nonlocally coupled Van der Pol oscillators. Tuning the bifurcation parameter of the individual units allows us to interpolate between regular sinusoidal and relaxation oscillations. We discuss the impact of these local dynamics on the occurrence of chimera states in the system, regimes of their stability in the parameter space, and analyze the influence of time delay introduced in the coupling.