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Fig. 10 | The Journal of Mathematical Neuroscience

Fig. 10

From: Fast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes

Fig. 10

Effect of the parameters of the model on the timeseries of a class. We show how different realizations of the same class can be obtained by changing the parameters of the model. We use as example c2s (SN/SH). In the top panel we show how the amplitude–frequency profile of a given class can be changed by choosing different paths (c2s, c2s’, c2s”) in the unfolding. The only requirement is that the starting point A of the path has to lay on the SH l curve and the ending point B on SN r curve between SNLs r and \(p_{1}\). In the middle panel we show how the velocity of z, the parameter c, affects the length of both the active and the silent phases. In the bottom panel we can see how changing \(d^{\star}\) affects the active/silent phases ratio. The values for A and B used to obtain the simulations are: for c2s \(\mathbf {A}=[0.3448,0.02285,0.2014]\), \(\mathbf{B}=[0.3496,0.07955,0.1774]\); for c2s’ \(\mathbf{A}=[0.3448,0.02285,0.2014]\), \(\mathbf {B}=[0.3331,0.074,0.2087]\); for c2s” \(\mathbf {A}=[0.3551,0.07019,0.1703]\), \(\mathbf{B}=[0.3331,0.074,0.2087]\)

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