Fig. 9

Deterministic excitatory network with synaptic depression. (a) Bifurcation diagram showing solutions as a function of the depletion rate $k_{-}$. Stable fixed point (thin solid curve) undergoes a Hop bifurcation at the points H, resulting in an unstable fixed point (dotted curve) and a stable limit cycle (thick solid curve). (b) Trajectories along the limit cycle for $x(t)$ (solid curve) and $q(t)$ (grey curve). Parameter values are $k_{+}=0.02$, $\gamma =20$, $F_0=1$ and $h=-0.15$ with $k_{-}=0.1$ in (b).