This is a model of a 3-d chemical autocatalator which shows the
transition from subthreshold oscillations via mixed-mode oscillations
(MMOs) to relaxation oscillations by variation of a control parameter
mu.
The existence of a primary
canard due to a folded saddle-node singularity is well known.
The canard serves as a seperatrix in the phase space
between the area of small amplitude oscillations (subthreshold oscillations)
and the area of relaxation oscillations. For a certain window in the
parameter space, in our case (0.298,0.302),
a slow periodic transition between these two
areas happens which leads to the different patterns of MMO