Memristive jounce (Newtonian) circuits

Memristive circuits with mixed-mode oscillations together with the regular and canonical Chua's circuits and their nonlinear mathematical models of order four are analyzed in this paper. The circuits are linked to Newton's second law u′′−F(t,u,u′)/m=0 for all dependent variables with the nonlinear force functions F containing memory terms. The nonlinear memristive element in each circuit is described by y=g(w)x,w′=x, where x, y and w are the current, voltage and flux, respectively, in some of the circuits, and the voltage, current and charge, respectively, in others. Because of the link of the circuits to Newton's second law it is possible to interpret the fourth derivatives of the dependent variables in the circuits as the jounce variables - the fourth derivative of the position variable in dynamical mechanical systems.