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.