Network Loop Gain

Canonical definition

Network Loop Gain ($G{net}$). The Network Loop Gain is the cross-Individual contribution to the total stability condition of the three-layer formalism, decomposing additively as $G{net} = G{net}^{\Lambda} + G{net}^{K}$, where $G{net}^{\Lambda} = \alpha\cdot \beta\cdot \rho(\Lambda)\cdot \sigma'(V^{*})$ is the fast-channel network gain (with $\rho(\Lambda)$ the spectral radius of the Observability matrix) and $G{net}^{K} = \rho(K{off})\cdot \|\partial\ell/\partial E\|\cdot \beta\,\|\partial\mu/\partial b\|\cdot \overline{\omega(T{int})}$ is the slow-channel network gain (with $\rho(K{off})$ the spectral radius of the off-diagonal Evidence-coupling matrix and $\overline{\omega(T{int})}$ the population-averaged Evidence-emission coefficient).