Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Nonlinear Dynamics, Synchronization and Chaos - Part I

DY 15.7: Talk

Wednesday, April 2, 2014, 11:15–11:30, HÜL 186

Clustered Chimera States in Systems of Type-I Excitability — •Andrea Vüllings¹, Johanne Hizanidis², Iryna Omelchenko^1,3, and Philipp Hövel^1,3 — ¹Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — ²National Center of Scientific Research “Demokritos”, Agia Paraskevi, 15310 Athens, Greece — ³Bernstein Center for Computational Neuroscience, HU Berlin, Philippstr. 13, 10115 Berlin, Germany

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour discovered in networks of nonlocally coupled identical phase oscillators more than ten years ago. Since then, chimeras were found in numerous theoretical and experimental studies and more recently in models of neuron dynamics as well [1,2]. In this work, we consider a generic model for a saddle-node bifurcation on a limit cycle representative for neuron excitability type I. We obtain chimera states with multiple coherent regions (clustered chimeras) depending on the distance from the excitability threshold as well as the range of nonlocal coupling. A detailed stability diagram for these chimera states as well as other interesting coexisting patterns like travelling waves will be presented. Finally, in order to gain more insight into the observed dynamics we will employ a modified Kuramoto phase oscillator model as a good approximation to our system above the bifurcation point.

[1] I. Omelchenko et al., Phys. Rev. Lett. 110, 224101 (2013).

[2] J. Hizanidis et al., Int. J. Bif. Chaos (2013).