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SOE: Fachverband Physik sozio-ökonomischer Systeme

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

SOE 10.4: Vortrag

Dienstag, 8. März 2016, 14:45–15:00, H36

A classification scheme of chimera states — •Felix P. Kemeth^1,2, Sindre W. Haugland^1,2, Lennart Schmidt¹, Ioannis G. Kevrekidis^2,3, and Katharina Krischer¹ — ¹Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany — ²TUM Institute for Advanced Study, Lichtenbergstraße 2a, D-85748 Garching, Germany — ³The Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08544, USA

The vast and continuously growing number of chimera or chimera-like states discovered in recent years demands a classification of the various manifestations of these dynamical hybrid states. We propose systematic and reductive approaches to characterize chimera states in systems with and without spatial extent, respectively. For locally and non-locally coupled systems, that is for systems involving a spatial extension, we apply a discrete version of the Laplace operator on spatio-temporal data sets exhibiting coexistence of coherent and incoherent regions. Regarding its statistical properties we introduce a detailed classification of chimera states into groups sharing the same qualitative behavior. For globally coupled systems without a spatial dimension, the statistics of pairwise Euclidean distances between all oscillators allow a similar analysis. This classification helps clarify the different facets of chimera states and broadens our understanding of this peculiar phenomenon.