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 14.4: Talk

Tuesday, March 17, 2015, 11:15–11:30, BH-N 243

Clusters, chimeras and localized turbulence under nonlinear global coupling — •Lennart Schmidt, Sindre W. Haugland, and Katharina Krischer — Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, Garching, Germany

The coexistence of coherently and incoherently oscillating parts in a system of identical oscillators with symmetrical coupling, i.e. a chimera state, is even observable with uniform global coupling. We investigate the prerequisites for chimera states in globally coupled systems. It turns out that a clustering mechanism constitutes the first symmetry-breaking step as it splits the system into two groups. We demonstrate this by means of two different cluster solutions giving rise to two different chimera states. Consequently, essential features of the cluster solutions can be rediscovered in the corresponding chimera states. Furthermore, we compare the chimera states to localized turbulence and discuss their qualitative differences.

Given a chimera state with synchronized and desynchronized regions of the same size, interchanging both phases again yields a solution to the underlying equations. We observe this process of alternation emerging spontaneously. Studying different initial conditions, we could identify the growth of the turbulent domain as being responsible for the repeatedly occurring interchanges.