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A theory for self-sustained balanced states in absence of strong external currents

Fig 4

Stability of the homogeneous stationary solutions for heterogeneous perturbations.

(A) Spectrum of the full Jacobian matrix (blue dots, ) compared with predictions from the random matrix approximation. The dashed black circle corresponds to the radius r (25), the orange and green markers indicate the predicted outliers and , respectively. In this panel J0 = 0.1 and . (B) Maximum real part of the eigenvalue spectrum of as a function of J0, compared with the radius r predicted by the random matrix approximation for various values of I0. (C) Critical coupling Jc as a function of network size N for different values of I0.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1013465.g004