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Fig. 10 | The Journal of Mathematical Neuroscience

Fig. 10

From: Wilson–Cowan Equations for Neocortical Dynamics

Fig. 10

The left panel shows the EI phase plane and nullclines of Eq. (7). The intersections of the two null clines are equilibrium or fixed points of the equations. Those labeled (+) are stable, those labeled (−) are unstable. Parameters: \(w_{EE}=12\), \(w_{EI}=4\), \(w_{IE}=13\), \(w_{II}=11\), \(n_{H} = 0\). The stable fixed points are nodes. The right panel shows an equilibrium which is periodic in time. Parameters: \(w_{EE}=16\), \(w_{EI}=12\), \(w_{IE}=15\), \(w_{II}=3\), \(n_{H}=1.25\). In this case the equilibrium is a limit cycle. [Redrawn from [24]]

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