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Leibold, Christian (30. September 2011): Renewal theory of coupled neuronal pools. Stable states and slow trajectories. In: Physical Review E, Vol. 84, Nr. 3: 031935




A theory is provided to analyze the dynamics of delay-coupled pools of spiking neurons based on stability analysis of stationary firing. Transitions between stable and unstable regimes can be predicted by bifurcation analysis of the underlying integral dynamics. Close to the bifurcation point the network exhibits slowly changing activities and allows for slow collective phenomena like continuous attractors.