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Fig. 6 | The Journal of Mathematical Neuroscience

Fig. 6

From: Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

Fig. 6

Bifurcation diagram on varying the input A for the Jansen–Rit model with \(\beta_{E}=100\mbox{ s}^{-1}\), \(\beta_{I}=50\mbox{ s}^{-1}\), \(A_{E}=3.25\mbox{ mV}\), \(A_{I}=22\mbox{ mV}\), \(\nu= 5\mbox{ s}^{-1}\), \(v_{0}=6\mbox{ mV}\), \(r=0.56\mbox{ mV}^{-1}\), \(C_{1}=135\), \(C_{2}=0.8 C_{1}\), \(C_{3}=0.25 C_{1}= C_{4}\). Solid red (black) lines represent stable (unstable) fixed points. Green (blue) points denote the amplitude of stable (unstable) periodic orbits that emerge via Hopf bifurcations. Note that a SNIC bifurcation occurs at \(A \simeq110\mbox{ Hz}\). The inset shows the coexistence of two stable periodic orbits at \(A=125\mbox{ Hz}\)

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