Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 52: Chimera states: symmetry-breaking in dynamical networks (joint session DY/BP/SOE)

DY 52.2: Talk

Thursday, March 23, 2017, 16:45–17:00, ZEU 147

Origins of alternating chimeras — •Sindre W. Haugland, Felix P. Kemeth, 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 allows for an alternative solution to the underlying equations, in which the dynamics of the phases are interchanged. Recently, we observed this kind of interchange as a self-emergent, self-sustained phenomenon in simulations of an oscillatory medium governed by a complex Ginzburg-Landau equation with nonlinear global coupling, and classified it as an alternating chimera (Sci. Rep. 5, 9883 (2015)). Here, we present more systematic research on its origin and dynamics, revealing new, related states, notably a form of self-sustained alternating regular subclustering, and providing additional insights into its mechanism of emergence. Working with minimal models, we are able to reproduce important features of the oscillatory medium close to the alternating chimera, and to identify several specific bifurcations in which these features are created and destroyed. Our results broaden the knowledge about self-emergent and self-sustained chimera states, particularly regarding alternating chimeras, and may help improve our understanding of chimera-like phenomena observed in biology.