Application of the volterra series paradigm to memristive systems

Abstract

The advent of the memristor in the panorama of fundamental passive circuit elements and the recent development of physical nano-devices with memory resistance opens new opportunities in IC electronics. However, considerable progress in the design of novel memristor-based circuits and systems may not be achieved unless the nonlinear dynamics of these nano-devices is fully unfolded and modeled. Due to the strongly nonlinear behavior of the physical memristor, classical analysis and synthesis techniques from linear system theory may not be applied to memristor-based circuits. Within the framework of nonlinear system theory, the Volterra series paradigm offers a solid theoretical background which may support the modeling and analysis of these unique systems. After a brief pedagogical review of the Volterra series theory, this paper introduces a systematic technique enabling the accurate reproduction of the dynamical behavior of classes of memristor circuits.