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Theory and Modern Applications

Table 1 The number of equilibria and their locations

From: Analysis of the equilibrium points of background neural networks with uniform firing rate

Conditions

Number

Equilibria

\(\mathcal{T}_{111}\)

1

\(E_{1}^{(1)}\)

\(\mathcal{T}_{112} \)

2

\(E_{2}^{(1)}\), \(E_{3}^{(1)}\)

\(\mathcal{T}_{113}\)

3

\(E_{4}^{(1)}\), \(E_{5}^{(1)}\), \(E_{6}^{(1)}\)

\(\mathcal{T}_{114}\)

2

\(E_{7}^{(1)}\), \(E_{8}^{(1)}\)

\(\mathcal{T}_{115}\)

1

\(E_{9}^{(1)}\)

\(\mathcal{T}_{12}\)

1

\(E_{10}^{(1)}\)

\(\mathcal{T}_{13}\)

1

\(E_{11}^{(1)}\)

\(\mathcal{T}_{21}\)

1

\(E_{1}^{(2)}\)

\(\mathcal{T}_{31}\)

1

\(E_{1}^{(3)}\)