The case for rejecting the memristor as a fundamental circuit. The memory resistor with the moniker memristor was a harmless postulate in 1971. Schematic diagram of chua s circuit, a simple electronic circuit which exhibits chaotic behavior. It is an essential part of chua s circuit, a simple electronic oscillator circuit which exhibits chaotic oscillations and is widely used as an example for a chaotic system. Based on the topology of the canonical chuas circuit, a memristor based chaotic circuit is established, as shown in figure 2, in which the chuas diode is substituted by the simplified generalized memristor shown in figure 1. In the circuit shown in figure below a, diode current is limited by the voltage of the power supply, the series resistor, and the diode s voltage drop, which as we know doesnt vary much from 0. Pdf a memristive diode bridgebased canonical chuas circuit. Chapter 3 presents the implementation of the chuas circuit basedon cellularnonlinearnetworks. In electronics and chaos theory, chua s diode is a type of twoterminal, nonlinear active resistor which can be described with piecewiselinear equations. Module 1 semiconductor pnjunction diodes what are they and what is their purpose. The circuit for realizing the chua diode need not concern us. Recipe for solving diode circuits state of diode is unknown before solving the circuit 1. Diodes are electronic check valves which allow current to flow freely in one direction, but block current flow in the opposite direction. On electronic design of the piecewise linear characteristic.
Before you proceed make sure that you have sorted out your resistors and capacitors, refer to appendix i. There are a few variations but this is the most basic design. We are using the two opamp implementation of the chua diode from kennedy kennedy, 1992. Chua s circuit also known as a chua circuit is a simple electronic circuit that exhibits classic chaotic behavior.
Improved implementation of chuas chaotic oscillator. In fact, it is the simplest possible chaotic circuit. Dynamics of periodically excited chuas oscillator zhangyao chen. The improved chua s circuit has identical mathematical model but completely different nonlinearity to the classical chua s circuit, from which. We are two good friends with completely different approaches to making music. Furthermore, it is shown that a cmos compatible cfoa can be designed by connecting two voltage followers sandwiched between two current mirrors. Multistability in chuas circuit with two stable nodefoci. There are many variations on how to build chua s circuit, but figure a shows the basic design. Since 2008 a device that claims to be the memristor is on the prowl, seeking recognition as a.
This was a bad thing before the whole avalanche breakdown, large current. Chua tbe genesis of chua s circuit following a nontechnical personal reminiscence of the authors conception of chua s circuit, this paper presents the systematic sequence of technical steps which the author used to design his chaotic circuit. Use the diode equation for that state to solve the circuit equations and find i d and v d 3. This paper investigates extreme multistability and its controllability for an ideal voltagecontrolled memristor emulatorbased canonical chuas circuit. Zener diodes when we first talked about practical diodes, it was mentioned that a parameter associated with the diode in the reverse bias region was the breakdown voltage, v br, also known as the peakinverse voltage piv. Chuas diode is realized by using current feedback operational amplifiers cfoas. Recording together resulted in new sounds and songs that neither of us ever imagined. Generalizations of the chua equations circuits and systems. Improved implementation of chuas chaotic oscillator he. The dynamics of chuas oscillator is investigated to reveal that both the coexisted two symmetric. Request pdf on electronic design of the piecewise linear characteristic of the chuas diode. The genesis of chuas circuit university of california.
Generating multiscroll chuas attractors via simplified. Zener diodes are designed to operate in the reverse breakdown region. Drivingpoint characteristic of a piecewise linear chua diode. Building this circuit requires only basic soldering skills and a few common circuit components. A novel memristor circuit is presented, which is generated from the canonical chuas circuit by replacing the chuas diode with a first order memristive diode bridge.
The fourtransistor realization of a chua diode with cubiclike. Module 2 essentially, they serve the same function in circuits, as the valves in your heart and. With the voltagecurrent model, the initial conditiondependent extreme multistability is explored through analyzing the stability distribution of line equilibrium point and then the coexisting infinitely many attractors are numerically. The circuit schematic symbol of a diode is shown in figure 5.
The most compact albeit expensive way is to design an integrated electronic circuit, such as the physical circuit shown in figure 4, where the black box in figure 2 had been replaced by a single ic chip cruz and chua, 1993, and powered by only one battery. A specific diode s vf depends on what semiconductor material its made out of. The type of diode also has some importance in defining the forward voltage drop. A fast and simple implementation of chuas oscillator using a cubiclike chua diode keith odonoghue. As you can see, the design is relatively straightforward. Generalizations of the chua equations circuits and systems i. This paper is concerned with designing feedback controllers for masterslave synchronization of two chaotic memristorbased chuas circuits. Phase dealy of chua diode measured by crosscorrelationlag in the three inner sections of the chua diode seen in.
A fast and simple implementation of chuas oscillator using a. Since 2008 a device that claims to be the memristor is on the prowl, seeking recognition as a fundamental circuit. Apr 22, 2016 only using onestage opamp based negative impedance converter realization, a simplified chua s diode with positive outer segment slope is introduced, based on which an improved chua s circuit realization with more simpler circuit structure is designed. Chuas circuit consists of a linear inductor l, a linear resistor r, two linear capacitors ci and c2, and a nonlinear. Fundamen tal theory and applications, ieee transactions on author. Michael peter kennedy peadar forbes abstract the nonlinearity in chuas oscillator is commonly implemented as a threesegment piecewiselinear resistor. An ic diode for chuas circuit an ic diode for chuas circuit cruz, jose m chua, leon o. Single ampli er biquad based inductorfree chuas circuit.
This is the standard chua s circuit used in research and a number of experiments, but there are many different ways to realize the full circuit. The reverse breakdown voltage is relatively insensitive to the current flowing thought the diode the reverse current. Pdf a fast and simple implementation of chuas oscillator using a. A simple zener diode voltage regulator in the voltage regulator the zener diode operates in the breakdown region, which ensures approximately constant voltage across it.
A number of specific types of diodes are manufactured for specific applications in this fast developing world. Chua s diode, proposedby kennedy 1992, which is designed by connecting two voltagecontrolled negative impedance converters in parallel, has been accepted as the standard for discrete implementation. Chapter 2 deals with ways of implementing nonlinearity in the chuas circuit. The development and numerical modeling of a chua circuit as a. The authors would like to thank the associate editor and the. Introduction for the study of complex dynamic phenomena it is essential to use simple prototypes in which bifurcation and chaotic behaviour can be analysed, simulated and experimentally verified. Circuit symbol for the device is also shown with the \inward arrow depicting the ptype material side. Diodes and transistors university of california, berkeley. Hence comparing the schematic symbol to the pn junction in figure 4, we see the anode is the ptype semiconductor and the cathode is the ntype semiconductor. Typically, a silicon diode will have a vf around 0. Zener diode in may applications, operation in the reverse breakdown region is highly desirable. Diode circuits operating in the reverse breakdown region. A memristive diode bridgebased canonical chuas circuit. Jul 20, 2018 the memory resistor with the moniker memristor was a harmless postulate in 1971.
Our circuit theory lecture 2 is based on the book linear and nonlinear circuits by chua, desoer and kuh 3, where most. Apr 28, 2014 there are many other circuits for realizing the chua diode. Generalizations of the chua equations circuits and. Index termschaos, chuas diode, chuas circuit, multiscroll chaotic attractor, secure. In this setup, the nonlinear resistor, called chuas diode by kennedy7.
The global, nonlinear characteristics of this building block are exploited to realize the chuas diode. Generalized memristor realized by memristive diode bridge with parallel rc filter 16. Application to chaos synchronization in this paper, the electronic design of the chuas circuit. Pdf the nonlinearity in chuas oscillator is commonly implemented as a three segment piecewiselinear resistor. Invented by leon chua in 1983, it and is very widely used as a standard example of chaotic oscillation. A novel memristor circuit is presented, which is generated from the canonical chua s circuit by replacing the chua s diode with a first order memristive diode bridge. It consists of one inductor l, two capacitors c1 and c2, one resistor r, and a nonlinear negative resistance n r, called chua s. The hspice electrical simulation results of the extracted layout show bifurcation towards a doublescroll chuas attractor by changing a bias current. This means roughly that it is a nonperiodic oscillator. Every diode has a maximum reverse voltage breakdown voltage that cannot be exceeded without diode damage. The piecewiselinear nature of the element means that the.
Practical implementation of chua s circuit with a cubic nonlinearity since the desired l i characteristic of the nonlinear resistor lv in chuas circuit is an oddsymmetric function with respect to origin, here we use the cubic polynomial 7 with the coefficients a0 0,a 0 for the nonlinearity of chuas. Introduction the wellknown chuas circuit shown in fig. The implementation of a chaotic oscillator which is based on chuas circuit, is presented. The mathematical model of the chuas circuit with the memristor can be described as dv 1 t dt 1 c 1 v 2 t. Many types of diode are used for a wide range of applications. In electronics and chaos theory, chuas diode is a type of twoterminal, nonlinear active resistor.
A cmos monolithic chuas circuit journal of circuits. Write down all circuit equations and simplify as much as possible 2. Implementation of chuas circuit with a cubic nonlinearity. The case for rejecting the memristor as a fundamental. For wiring up the chua diode, you will need two 22k resistors, two 220 ohm resistors, one 3. Implementation of a chaotic oscillator by designing chuas. Among several equivalent canonical chuas circuits, dr. Robust op amp realization of chuas circuit smu department of. Diodes and diode circuits tlt8016 basic analog circuits 20052006 11 3. Some of the more common specialpurpose diodes are i zener diode ii lightemitting diode led iii photo diode iv tunnel diode v varactor diode and vi shockley diode.
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