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Fig. 4 | The Journal of Mathematical Neuroscience

Fig. 4

From: Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states

Fig. 4

Firing rates N(t) for a1. Top left: b=0.5 with initial data a Maxwellian with: v 0 =0 and σ o 2 =0.25. Top right: b=3 with initial data a Maxwellian with: v 0 =1 and σ o 2 =0.5. Bottom left: b=1.5 considering two different initial data: a Maxwellian with: v 0 =1 and σ o 2 =0.5 and a profile given by the expression (3.2) with N=2.31901. Bottom right: b=1.5 with initial data a Maxwellian with: v 0 =1 and σ o 2 =0.5. The top right case seems to depict a blow-up phenomena demonstrated in Theorem 2.2.

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