Berlin 2015 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 14: Focus Session: Chimera states: symmetry-breaking in dynamical networks (joint session DY/ BP)
DY 14.7: Talk
Tuesday, March 17, 2015, 12:00–12:15, BH-N 243
Robustness of chimera states for coupled FitzHugh-Nagumo oscillators — •Philipp Hövel1,2, Iryna Omelchenko1, Eckehard Schöll1, Johanne Hizanidis3, and Astero Provata3 — 1Technische Universität Berlin — 2Bernstein Center for Computational Neuroscience Berlin — 3National Center for Scientific Research "Demokritos", Athens
Chimera states are complex spatio-temporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics. This counterintuitive phenomenon was first observed in systems of identical oscillators with symmetric coupling topology. Can one overcome these limitations? To address this question, we discuss the robustness of chimera states in networks of FitzHugh-Nagumo oscillators. Considering networks of inhomogeneous elements with regular coupling topology, and networks of identical elements with irregular coupling topologies, we demonstrate that chimera states are robust with respect to these perturbations, and analyze their properties as the inhomogeneities increase. We find that modifications of coupling topologies cause qualitative changes of chimera states: additional random links induce a shift of the stability regions in the system parameter plane, gaps in the connectivity matrix result in a change of the multiplicity of incoherent regions of the chimera state, and hierarchical geometry in the connectivity matrix induces nested coherent and incoherent regions.