Fig. 1. The (h, V) trajectory of the single neuron at different values: (a) ; (b) ; (c) ; (d) .

Fig. 2. Bifurcation of the single neuron model with increasing : (a) Bifurcations of ISIs; (b) the enlargement of ISIs within the square at the down-left corner of fig (a).

Fig. 3. Bifurcations of the fast-subsystem of the single neuron with respect to h when .

Fig. 4. The fast-slow variable dissection of bursting of single neuron at different values: (a) ; (b) ; (c) ; (d) .

Fig. 5. Transitions with respect to of coupled neurons model. The same initial values: (a1) The mean values of coupling current ; (a2) maximum spike phase difference ; (a3) maximum burst phase difference ; (a4) coefficient ρ; (a5) ISIs of neuron 1. Different initial values: (b1) The mean values of coupling current ; (b2) maximum spike phase difference ; (b3) maximum burst phase difference ; (b4) coefficient ρ; (b5) ISIs of neuron 1.

Fig. 6. Membrane potential (top) and coupling current (low) of neurons 1 (red) and 2 (blue) with the same initial values at different values (Insert figure: the enlargement of bursting): (a) ; (b) ; (c) ; (d) .

Fig. 7. Membrane potential V (top) and coupling current (low) of neurons 1 (red) and 2 (blue) with different initial values at different (Insert figure: the enlargement of bursting): (a) = 0.35 nS; (b) = 1.5 nS; (c) = 2.5 nS; (d) = 5.0 nS; (e) = 18.0 nS.

Fig. 8. Bifurcations of the fast-subsystem of the two coupled neurons with respect to h when = 1.5 nS (Insert figure: the enlargement): (a) Equilibrium points; (b) equilibrium points and limit cycle.

Fig. 9. The fast-slow variable dissection of neuron 1 for different initial values at different values (Insert figure: the enlargement): (a) = 0.35 nS; (b) = 2.5 nS; (c) = 5.0 nS; (d) = 18.0 nS.

Fig. 10. The fast-slow variable dissection of neuron 1 for different initial values at different values (Insert figure: the enlargement): (a) = 0.35 nS; (b) = 1.5 nS; (c) and (d) = 2.5 nS; (e) = 5.0 nS; (f) = 18.0 nS.

Fig. 11. The anti-phase (purple) and in-phase (green) period-1 spiking: (a) The V-h trajectory; (b) coupling current.

Fig. 12. (a) Bifurcations of equilibrium points and limit cycle of the fast-subsystem; (b) enlargement of (a); (c) fast-slow variable dissection of anti-phase (purple) and in-phase (green) period-1 spiking; (d) enlargement of anti-phase (purple) and in-phase (green) period-1 spiking in Fig. (c).

Table 1. [in Chinese]

Table 2. The values of slow variable h of the bifurcation or key points at different values.

Table 3. The slow variable h values of the bifurcation or key points at different values.