Fig. 7
From: Symmetries Constrain Dynamics in a Family of Balanced Neural Networks
Behavior of three-cluster solutions as system size N increases. A–B clusters where inhibitory cells break into groups with size ratio 1 to 4 (\(n_{I_{2}} = 4 n_{I_{1}}\)). A Activity levels on the \(I_{1}/I_{2}\) solution branch. Colors cycle through \(N = 25, 50, 75, 100, 125, 150, 200, 250, 300, 400, 500, 600, 700, 800\text{, and }1000\) (\(n_{I} = N/5\) must be a multiple of 5). B Bifurcation values \(g^{\ast}\), \(g^{H}\), and Hopf frequency \(\omega (g^{H})\) as functions of N. C–D Solution branch in which inhibitory cells break into groups with size ratio 2 to 3 (\(n_{I_{2}} = (3/2) n_{I_{1}}\)). C Activity levels on the \(I_{1}/I_{2}\) solution branch. Colors cycle through \(N = 25, 50, 75, 100, 125, 150, 200, 250, 300, 400, 500, 600, 700, 800\text{, and }1000\) (\(n_{I} = N/5\) must be a multiple of 5). D Bifurcation values \(g^{\ast}\), \(g^{H}\), and Hopf frequency \(\omega(g^{H})\) as functions of N