Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

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

DY 15.2: Talk

Wednesday, April 2, 2014, 09:45–10:00, HÜL 186

Multiplicity of Singular Synchronous States in the Kuramoto Model of Coupled Oscillators — •Maxim Komarov and Arkady Pikovsky — Department of Physics and Astronomy, Universität Potsdam, Karl-Liebknecht-Str 24/25, Bld. 28 D-14476 Potsdam, Germany

We study the Kuramoto model of globally coupled oscillators with a bi-harmonic coupling function. We develop an analytic self-consistency approach to find stationary synchronous states in the thermodynamic limit, and demonstrate that there is a huge multiplicity of such states, which differ microscopically in the distributions of locked phases. These synchronous regimes exist already prior to linear instability transition of the fully asynchronous state. In the presence of white Gaussian noise the multiplicity is lifted, but the dependence of the order parameters on coupling constants remains nontrivial.