New jerk circuits with mixed-mode oscillations

We propose two jerk circuits that can generate mixed-mode oscillations of various sequences. The circuits\´ responses comprise both the large (L) and small (s) amplitude oscillations which result in a periodic L^s sequence. The L^s patterns follow the Farey arithmetic when the circuits\´ parameters bifurcate in certain intervals. One of the two jerk circuits has a Newtonian form as its mathematical model can be derived from the second Newton\´s law x" = F/m, with x" = d²x/dt² being an “acceleration” variable. Several PSPICE and Matlab simulation results are included.