Pinched Hysteresis Loops is the Fingerprint of Memristive Devices

TL;DR

This paper clarifies that true memristive devices must exhibit a pinched hysteresis loop at the origin for all test conditions, and it demonstrates that some systems previously claimed as memristive do not meet this criterion.

Contribution

It establishes a strict criterion for memristive behavior and shows that certain systems do not qualify as memristors based on this standard.

Findings

Pinched hysteresis loops must occur at the origin for all amplitudes and initial conditions.

Some systems previously identified as memristive do not exhibit pinched loops at the origin.

The paper provides a criterion to verify memristive behavior in devices.

Abstract

This short note clarifies that the "pinched hysteresis loop" fingerprint of a memristor, or a memristive device, must hold for all amplitudes, for all frequencies, and for all initial conditions, of any periodic testing waveform, such as sinusoidal or triangular signals, which assumes both positive and negative values over each period of the waveform. We proved that the systems presented in [1] are not memristive devices because their hysteresis loops are not pinched at the origin for all amplitudes, and for all initial conditions.