Dynamics of Coupled Oscillator Systems - Abstract

Lindner, Benjamin

Analysis of the asynchronous state in networks of randomly coupled oscillators

Although many studies of coupled oscillators have focussed on their synchronization, some systems of interest (the neural networks in the brain) remarkably show an asynchronous activity with nontrivial temporal correlations. The corresponding correlation functions are determined by a self-consistency condition. As I will discuss in my talk, in some cases (rotator network with random coupling coefficients) this self-consistency condition leads us to an explicit differential equation for the correlation function, in others (e.g. networks of spiking neurons) to an iterative scheme for the determination of power spectra.