Switching Synchronization in One-Dimensional Memristive Networks

TL;DR

This paper investigates a collective switching synchronization phenomenon in one-dimensional memristive networks, revealing how different systems synchronize their resistance switching under specific voltage conditions through numerical and analytical methods.

Contribution

It introduces a new understanding of synchronization in memristive networks and provides an analytical model explaining the observed collective behavior.

Findings

Synchronization occurs when voltage slightly exceeds threshold

Network switching time increases compared to individual systems

Analytical expressions match numerical simulations

Abstract

We report on an astonishing switching synchronization phenomenon in one-dimensional memristive networks, which occurs when several memristive systems with different switching constants are switched from the high to low resistance state. Our numerical simulations show that such a collective behavior is especially pronounced when the applied voltage slightly exceeds the combined threshold voltage of memristive systems. Moreover, a finite increase in the network switching time is found compared to the average switching time of individual systems. An analytical model is presented to explain our observations. Using this model, we have derived asymptotic expressions for memory resistances at short and long times, which are in excellent agreement with our numerical calculations.