Abstract
The transitions from tonic spiking to bursting for the nociceptive neuron model have been studied with changing the external stimulus value. The presence of the fold limit cycle bifurcation in the structure of the bifurcation diagram of the fast subsystem and the torus bifurcation in the structure of the bifurcation diagram of the full system lead to the emergence of special solutions of the type torus canards in these transitions. This confirms the assumption that torus canards are an obligatory feature for transitions between rhythmic and burst discharges
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