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Fig. 1 | The Journal of Mathematical Neuroscience

Fig. 1

From: Criteria for robustness of heteroclinic cycles in neural microcircuits

Fig. 1

A 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.

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