Fig 5. Eigenspectrum analysis of network stability.

A Eigenvalue spectrum of the effective connectivity matrix $\mathit{M}$ for the first (blue squares) and second (red dots) iteration. The dashed vertical line marks the edge of stability at a real part of 1. B Contribution ${\mathit{\eta }}_{\mathit{l}}$ (Eq (13)) of an individual eigenprojection $\mathit{l}$ to the shift of the unstable fixed point versus the relative change in indegrees associated with $\mathit{l}$ for the first iteration. The data point corresponding to ${\mathit{\lambda }}_c^{(1)}$ is marked in red. The inset shows the relative angles between ${\mathit{\delta }\mathit{\nu }}^{*}$ and the eigenvectors ${\mathit{u}}^{\mathit{l}}$. The red line corresponds to the critical eigendirection. C Entries of the eigenvector ${\mathit{u}}_{\mathit{c}}^{(1)}$ associated with ${\mathit{\lambda }}_c^{(1)}$ in the populations of the model. The affected areas are 46 and FEF. D Same as C for the second iteration.