Fig. 7

Parameter values are $a\equiv 1$ and $b=1.5$ and this corresponds to two steady states. Left: Evolution of the distribution function $p(v,t)$ in time of an initial Maxwellian centered at $v_0=1.5$ and with variance 0.005. Right: Time evolution of the firing rate; we observe numerically a blow-up behaviour for an initial data satisfying the condition of concentration around $V_F$ described in Theorem 2.2.