IEEE Circuits and Systems Magazine - Q2 2018 - 14

Feature

Oscillation with 4-Lobe Chua
Corsage Memristor
zubaer Ibna mannan, changju yang, and Hyongsuk Kim

ImagE lIcEnsEd by Ingram PublIsHIng

Abstract
In this paper we propose a new first-order generic memristor,
namely, a 4-lobe Chua corsage memristor, as an extension of
the 2-lobe chua corsage memristor. the newly designed corsage memristor exhibits more complex dynamical routes with
three stable equilibrium points for which it reveals a higher degree of versatility that the dynamic route changes in response to
a change in initial conditions. One of the most important feature
of our new memristor is its contiguous dc V-I curve. In contrast,
most published highly-nonlinear dc V-I curves have several
disconnected branches. moreover, in this paper, we exploit the
properties of the 4-lobe chua corsage memristor to design an
oscillator by connecting the memristor in series with an inductor and a battery. the resulting circuit oscillates about a locallyactive operating point located on the negative slope region of
the memristor's dc V-I curve. We investigate the local activity,
edge of chaos, and Hopf bifurcation phenomena and carry out
an in-depth analysis of the nonlinear dynamics of the oscillation
in our oscillator circuit.

Digital Object Identifier 10.1109/MCAS.2018.2821724
Date of publication: 21 May 2018

14

IEEE cIrcuIts and systEms magazInE

I. Introduction
scillators are ubiquitous in a variety of scientific,
technological, and commercial applications and
much current research activities are directed at
designing novel oscillating circuits using different types of
techniques and devices. Conventional oscillators are typically designed with an LC tank circuit (e.g., Tunnel diode
oscillator) [1], or with a combination of capacitors and
inductors along with a two-terminal locally-active nonlinear resistor, or a locally-active three-terminal resistor (e.g.,
Wien-bridge oscillator) in addition to a battery. In contrast
to conventional oscillators, one of the simplest way of designing an oscillator circuit is to connect a second-order
locally-active memristor across a battery [2]. Another way
of designing an oscillator is to connect an energy-storage
element in series with a first-order generic memristor
along with a battery [3].
In this paper we designed a generic memristor oscillator by using a novel first-order generic [4] memristor
along with a linear inductor and a battery. Our generic
memristor, dubbed the 4-lobe Chua corsage memristor,

O

1531-636X/18©2018IEEE

sEcOnd quartEr 2018



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