Low-power switching of memristors exhibiting fractional-order dynamics

TL;DR

This paper investigates energy-efficient switching strategies for memristors with fractional-order dynamics, revealing how pulse parameters influence Joule losses and informing neuromorphic device design.

Contribution

It introduces a fractional-order differential equation model for memristor switching and analyzes optimal pulse strategies to minimize Joule losses based on fractional order.

Findings

Wide pulses are optimal when fractional order exceeds half the power exponent.

Zero current followed by a high-amplitude narrow pulse minimizes Joule losses otherwise.

The study provides insights for designing energy-efficient neuromorphic systems.

Abstract

In this conference contribution, we present some initial results on switching memristive devices exhibiting fractional-order behavior using current pulses. In our model, it is assumed that the evolution of a state variable follows a fractional-order differential equation involving a Caputo-type derivative. A study of Joule losses demonstrates that the best switching strategy minimizing these losses depends on the fractional derivative's order and the power exponent in the equation of motion. It is found that when the order of the fractional derivative exceeds half of the power exponent, the best approach is to employ a wide pulse. Conversely, when this condition is not met, Joule losses are minimized by applying a zero current followed by a narrow current pulse of the highest allowable amplitude. These findings are explored further in the context of multi-pulse control. Our research lays the foundation for the advancement of the next generation of energy-efficient neuromorphic computing architectures that more closely mimic their biological counterparts.