Fig. 1From: Criteria for robustness of heteroclinic cycles in neural microcircuitsA trajectory approaching a heteroclinic cycle for the rate model (18) with ϵ= 10 − 3 and parameters as in Table 1. Observe that the trajectory cycles between the neighbourhoods of three saddle equilibria where two of the three s i are close to saturated at S max =0.045. The switching dynamics between equilibria continues to slow down indicating that the trajectory is approaching the actual heteroclinic orbit. The bottom panel illustrates this further by showing that the s i continue to approach the equilibria over the whole duration of the simulation. The simulation is performed using a numerical scheme that carefully resolves the behaviour near the equilibria.Back to article page