Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 14: Nonlinear Dynamics, Synchronization and Chaos II

DY 14.2: Hauptvortrag

Dienstag, 12. März 2013, 15:30–16:00, H44

Chimera states and the transition from spatial coherence to incoherence — •Philipp Hövel — Institut für Theoretische Physik, Technische Universität Berlin — Bernstein Center for Computational Neuroscience Berlin — Center for Complex Network Research, Northeastern University, Boston

Chimera states exhibit surprising dynamics in nonlocally coupled systems of identical oscillators. These hybrid states consist of both spatially coherent and synchronized as well as incoherent parts. Initially discovered for phase oscillators, they have been recently found in a large variety of different models and have also been realized in experiments [1]. In my presentation, I will give an overview of the wide spectrum of possible local dynamics and demonstrate that the habitat of chimeras ranges from time-discrete maps via chaotic models to neural oscillators [2]. Furthermore, I will address analytical results on the symmetry and stability of these peculiar states [3].

[1] A. M. Hagerstrom, T. E. Murphy, R. Roy, P. Hövel, I. Omelchenko, and E. Schöll. Nature Physics 8, 658 (2012).

[2] I. Omelchenko, Yu. Maistrenko, P. Hövel, and E. Schöll, Phys. Rev. Lett. 106, 234102 (2011).

[3] I. Omelchenko, B. Riemenschneider, P. Hövel, Yu. Maistrenko, and E. Schöll. Phys. Rev. E 85, 026212 (2012).