Theory and Modern Applications
Table 2 Stability of the equilibrium points for ( 2.3 )
From: Analysis of the equilibrium points of background neural networks with uniform firing rate
Conditions | Equilibria (stability) |
|---|---|
\(\mathcal{T}_{111}\) | \(E_{1}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{112} \) | \(E_{2}^{(1)}\) (unstable),\(E_{3}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{113}\) | \(E_{4}^{(1)}\) (asymptotically stable), \(E_{5}^{(1)}\) (unstable), \(E_{6}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{114}\) | \(E_{7}^{(1)}\) (asymptotically stable), \(E_{8}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{115}\) | \(E_{9}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{12}\) | \(E_{10}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{13}\) | \(E_{11}^{(1)}\) (asymptotically stable) |
\(\mathcal{T}_{21}\) | \(E_{1}^{(2)}\) (asymptotically stable) |
\(\mathcal{T}_{31}\) | \(E_{1}^{(3)}\) (asymptotically stable) |