Canard Mechanism and Rhythm Dynamics of Neuron Models

Canards are a type of transient dynamics that occur in singularly perturbed systems, and they specific types solutions with varied dynamic behaviours at the boundary region. This paper introduces emergence development canard phenomena neuron model. The singular perturbation system general model is investigated, link between transition from to summarised. First, relationship folded saddle-type parabolic burster, as well firing-threshold manifold, established. Moreover, association mixed-mode oscillation node unique. Furthermore, connection limit-cycle (singular Hopf bifurcation) stated. In addition, torus tonic spiking bursting illustrated. Finally, manifestations these demonstrated, such bifurcation, folded-node canard, “blue sky catastrophe”. summary outlook this point realistic possibility canards, which have not yet been discovered