Regensburg 2016 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 10: Chimera State: Symmetry breaking in dynamical networks (session accompanying symposium SYCS)

SOE 10.2: Talk

Tuesday, March 8, 2016, 14:15–14:30, H36

Stability analysis of long-living transient amplitude chimeras — •Liudmila Tumash, Anna Zakharova, Judith Lehnert, and Eckehard Schöll — Institut für Theoretische Physik,TU-Berlin, Hardenbergstr 36, 10623 Berlin, Germany,

Chimera states are characterized by a spontaneous break-up of a network of identical elements into coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We study networks with coupled phase and amplitude dynamics. In contrast to classical phase chimeras, pure amplitude chimeras exhibit domains of coherent and incoherent dynamics with respect to the amplitude, but the phases are always regular and correlated. These states are long-living transients. In this work we investigate networks of Stuart-Landau oscillators with symmetry-breaking non-local coupling, in which amplitude chimeras can occur [1]. We verify the hypothesis that amplitude chimeras represent saddle-states in a high-dimensional phase space by calculating the Floquet exponents and the corresponding Floquet eigenvectors. In this way we can explain the dependence of the transient times upon coupling strength, coupling range and network size.

A. Zakharova, M. Kapeller, E. Schöll, Phys. Rev. Lett. 112, 154101 (2014).