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Input correlations impede suppression of chaos and learning in balanced firing-rate networks

Fig 9

Activity, population firing rate and autocorrelations of balanced networks with independent input.

A) Firing rates ϕ_i(t) = ϕ(h_i(t)) of three example units. B) Mean population firing rate ν(t). C) Autocorrelation function with no external input (I₁ = 0). D)-F) Same as A-C but for input amplitude of I₁ = 0.8; activity remains chaotic. G)-I) Same as A-C but for stronger input (I₁ = 10); activity is fully controlled by the external input and is no longer chaotic. Dashed lines (middle and right columns) are results of stationary DMFT, full lines are median across 10 network realizations. Model parameters: N = 5000, g = 2, f = 0.05/τ, I₀ = J₀ = 1.

doi: https://doi.org/10.1371/journal.pcbi.1010590.g009