Berlin 2015 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 59: Poster - networks

DY 59.6: Poster

Donnerstag, 19. März 2015, 16:00–18:00, Poster A

Self-organized alternating chimera states in oscillatory media — •Sindre W. Haugland, Lennart Schmidt, and Katharina Krischer — Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-balanced chimera state, where the totals of synchronized and desynchronized regions, respectively, are of the same size, the symmetry of the system predicts that interchanging both phases still gives a solution to the underlying equations. Through simulations of an oscillatory medium governed by a complex Ginzburg-Landau equation with nonlinear global coupling, we observe this kind of interchange as a self-emergent phenomenon, occurring repeatedly for an apparently indefinite amount of time. Simulations also corroborate the hypothesis that a steady expansion of the turbulent phase is favoured, whereas a global constraint restricts its overall size. In contrast to the case of the non-alternating chimera states also found in our model system, the phase balanced state is not stable for alternating chimera states, leading to diffusional growth slightly beyond phase balance and a subsequent interchange of phases. The existence of self-emergent, self-sustaining alternating chimera states broadens the scope of future research into chimera states in general, and may help improve our understanding of chimera-like phenomena observed in biology.