Figure 1
From: Coarse-graining of the dynamics seen in neural networks
Coarse-graining of the dynamics seen in a 2-cells neural network (described by 8 differential equations). A is a measure of the network activity and μ is a parameter related to tonic drive. The green dots represent stable equilibrium of a 2D model simplification for which the equations are unknown (calculated by our method). The blue line represents an equlibrium solution and the red lines represent periodic (spiking) solutions of the 2-cells network (in both cases, a bold line is a stable solution and a thin line is an unstable solution). The arrows indicate bifurcation points in the 2-cells network; these bifurcations are not captured by the simplified representation. The solutions of the 2-cells network were calculated by AUTO.