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Asynchronous Rate Chaos in Spiking Neuronal Circuits

Fig 14

The phase diagram of the two-population rate model with threshold-linear transfer function.

, . The bifurcation lines predicted by the DMFT are plotted in the parameter space for K = 400 (red), 10³ (blue), 10⁴ (black), and K → ∞ (green). Red dots: Zero-crossing of the largest Lyapunov exponent (average over 5 network realizations) in numerical simulations for K = 400. Color code: Ratio of the population average firing rate of the two populations (I/E) in log scale (right). White region: The activity of the E population is very small for finite K and goes to zero in the limit K → ∞. The boundary to the right of that region is given by: .

doi: https://doi.org/10.1371/journal.pcbi.1004266.g014