Analytic analysis for effects of input initial phase on input-output dynamics of memristor

Abstract

The analytic expressions of input-output dynamic parameters of memristor (i.e., state variable, memristance, and output response) with respect to initial phase of sinusoidal input are obtained by using Homotopy Analysis Method (HAM). Furthermore, a new exponent, called Response Time Delay (difference) between the Maximum Values of input and output—RDMV-IO, is proposed to rapidly analyze the memristor input-output dynamics, under different initial phases. Employing RDMV-IO, we further reveal the intrinsic relationship between initial phase and dynamics. The studies are verified by using Mathematica simulations adopting nonlinear dopant drift memristor model coupled with window function.