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Fig. 5 | The Journal of Mathematical Neuroscience

Fig. 5

From: Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

Fig. 5

A Half Center oscillator built from two (reduced) Hodgkin–Huxley neurons with mutual reciprocal inhibition modelled by an α-function synapse and a negative reversal potential. The inset shows the voltage traces (solid and dashed lines) for the two neurons. The solid blue line in the \((V,U)\) space shows the common orbit of the two neurons (though each neuron travels half a period out of phase with the other). Parameters: \(\alpha=1\mbox{ ms}\), \(V_{s}=-100\mbox{ mV}\), \(g_{s}=100\mbox{ mS}\,\mbox{cm}^{-2}\). Spike times determined by a voltage threshold at \(V=-35\mbox{ mV}\)

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