A memristor-based third-order oscillator: beyond oscillation

A Talukdar,A G Radwan,K N Salama

doi:10.1007/s13204-011-0021-4

A Talukdar, A G Radwan + Show 1 more

Open Access

https://doi.org/10.1007/s13204-011-0021-4

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Abstract

This paper demonstrates the first third-order autonomous linear time variant circuit realization that enhances parametric oscillation through the usage of memristor in conventional oscillators. Although the output has sustained oscillation, the linear features of the conventional oscillators become time dependent. The poles oscillate in nonlinear behavior due to the oscillation of memristor resistance. The mathematical formulas as well as SPICE simulations are introduced for the memristor-based phase shift oscillator showing a great matching.

Highlights

The three basic circuit elements have recently encountered the missing fourth element—‘memristor’, relating between the flux-linkage (u) and the charge (q), when introduced experimentally by HP labs (Strukov et al 2008) using a thin semiconductor film (TiO2) sandwiched between two metal contacts, after the visionary hypothesis given by Chua (1971)
This paper demonstrates the first third-order autonomous linear time variant circuit realization that enhances parametric oscillation through the usage of memristor in conventional oscillators
The mathematical formulas as well as SPICE simulations are introduced for the memristor-based phase shift oscillator showing a great matching

Summary

Introduction

The three basic circuit elements have recently encountered the missing fourth element—‘memristor’, relating between the flux-linkage (u) and the charge (q), when introduced experimentally by HP labs (Strukov et al 2008) using a thin semiconductor film (TiO2) sandwiched between two metal contacts, after the visionary hypothesis given by Chua (1971). Parametric oscillator is a well known phenomenon in linear time variant system in control theory which occurs only with externally applied periodical forces as in the case of a child on a swing or quartz oscillator (Komine et al 2003). Such oscillation does not occur automatically, rather external oscillating inputs are required to pump the system. Conventional resistors are replaced (one at a time) by memristor in the phase shift oscillator (Fig. 1). The SPICE model proposed by Biolek et al (2009) is used to simulate the effect of memristor on phase shift oscillator.

Oscillating RM

Oscillating poles

Conclusion