Mutators for transforming nonlinear resistor into memristor

A method of analogue emulation of the memristor with its prescribed charge (q_M) - flux (φ_M) constitutive relation is presented. The memristor is emulated via a resistor with nonlinear current (i_R) - voltage (v_R) relationship, and a mutator. The purpose of the mutator is to provide a similarity transformation of the current-voltage characteristic of the resistor into the constitutive relation of the memristor according to the equations q_M=k_yi_R, φ_M =k_xv_R, or φ_M=k_yi_R, q_M=k_xv_R, where k_x, k_y are real numbers fulfilling the condition k_xk_y>;0. It is shown that there are eight versions of these mutators. One of them is selected for experimental verification.