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Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

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

DY 15.6: Talk

Wednesday, April 2, 2014, 11:00–11:15, HÜL 186

Robustness of chimera states in neural system — •Iryna Omelchenko1,2 and Philipp Hövel1,21Institut für Theoretische Physik, Technische Universität Berlin — 2Bernstein Center for Computational Neuroscience, Humboldt-Universität zu Berlin

Chimera states are peculiar patterns characterized by coexistence of spatial regions with regular synchronized and irregular incoherent motion in systems of nonlocally coupled elements. We investigate the cooperative dynamics of nonlocally coupled neural populations modeled by FitzHugh-Nagumo systems, where each individual system displays oscillatory local dynamics. In this system, next to the classical chimera state, which exhibits one coherent phase-locked and one incoherent region, we find a new class of dynamics that possesses multiple domains of incoherence [1].

To address the question of robustness of chimera states, inhomogeneity of the local units is introduced in the system via a distribution of threshold parameters of individual FitzHugh-Nagumo oscillators. In dependence on the inhomogeneous system's parameter distribution, we analyze existence of chimera and multi-chimera states in the system.

[1] I. Omelchenko, O.E. Omel'chenko, P. Hövel, and E. Schöll. Phys. Rev. Letters 110, 224101 (2013).

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