# Bifurcation analysis of a TaO memristor model

## TL;DR

This paper investigates bifurcation phenomena in TaO memristors driven by alternating pulses, revealing a novel bistability in a single memristor that can influence future circuit design.

## Contribution

It introduces the first identification of bistability in a single TaO memristor, expanding understanding of its dynamic behavior under specific pulse conditions.

## Key findings

- Discovery of a bistable regime with two stable fixed points
- Identification of bifurcation behavior influenced by pulse parameters
- Potential for experimental validation and circuit application

## Abstract

This paper presents a study of bifurcation in the time-averaged dynamics of TaO memristors driven by narrow pulses of alternating polarities. The analysis, based on a physics-inspired model, focuses on the stable fixed points and on how these are affected by the pulse parameters. Our main finding is the identification of a driving regime when two stable fixed points exist simultaneously. To the best of our knowledge, such bistability is identified in a single memristor for the first time. This result can be readily tested experimentally, and is expected to be useful in future memristor circuit designs.