Fig. 10From: Excitable Neurons, Firing Threshold Manifolds and CanardsNonsingular canards and global trajectories. The true nonsingular canard (blue) for the three-dimensional modified propofol model is located for τ s =15. This canard is then continued in τ s using a suitable boundary condition problem. We thus obtain the true canard for any value of τ s . This true canard is compared to the corresponding trajectory (black) of the three-dimensional modified propofol model. Here, we see that the true nonsingular canard correctly bounds the trajectories into spiking and quiescent regimes. The folded singularity (purple) and eq 3 (green) are indicated. a The nonsingular trajectory and associated canard for τ s =8 in (v,w)-space. b The nonsingular trajectory and associated canard for τ s =9 in (v,w)-spaceBack to article page