Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

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

DY 54.2: Poster

Thursday, March 23, 2017, 17:00–19:30, P1A

Stability of amplitude chimeras in oscillator networks — Liudmila Tumash¹, Anna Zakharova¹, Judith Lehnert¹, Wolfram Just², and •Eckehard Schöll¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany — ²Queen Mary, University of London, London E1 4NS, UK

We show that amplitude chimeras in ring networks of Stuart-Landau oscillators with symmetry-breaking nonlocal coupling represent saddle-states in the underlying phase space of the network [1]. Chimera states are composed of coexisting spatial domains of coherent and of incoherent oscillations. We calculate the Floquet exponents and the corresponding eigenvectors in dependence upon the coupling strength and range, and discuss the implications for the phase space structure. The existence of at least one positive real part of the Floquet exponents indicates an unstable manifold in phase space, which explains the nature of these states as long-living transients. Additionally, we find a Stuart-Landau network of minimum size N=12 exhibiting amplitude chimeras.

[1] L. Tumash, A. Zakharova, J. Lehnert, W. Just, E. Schöll, arXiv:1611.03348 (2016).