A matlab program is presented to design chuas circuit by applying. Learn more about matlab, chua, chaos, circuit, ode. The authors prototype of the diode tester and matlab based gui front panel are shown in figs 2 and 3, respectively. This program gives the phase portraits of the memristor based chua s circuit. Lab 1 introduction to circuits and matlab introduction. An example of an electrical circuit,which is used in this research, is chuas circuit. In this program you want to see the period doubling scenario please change the control parameter value of r.
A device simulator that is functional and modular in nature is developed using matlab to allow for flexibility during programming and to allow for future development with relative ease. We see from the first order diode equation that the diode current at reverse bias will be is. Electronics circuit diode simulation matlab answers. Jan 30, 2011 the diode rectifier with r, rl and rc load is simulated. Half wave diode based rectifier file exchange matlab. It is known that, in dependence to the initial conditions ics, two attractors are present in the chuas circuit. Example code using matlab to control and acquire data from tds2012b oscilloscope tested on windows 7 64bit running matlab r2010a download source code. Dimensionless chua s circuit the animation on the left is taken directly from a visualization of a chua s circuit simulation in matlab after running for about 100 seconds and then rotated for viewing. I am currently working on a bifurcation diagram for chua s circuit but i am having trouble coming up with code for a bifurcation of a system of equations. The programs main goal is to provide a tool that can supplement device modeling and to construct. Finding hidden attractors in improved memristorbased chua. Gate arrays and the experiment is conducted using hardwaresoftware cosimulation.
Because of the existence of a line equilibrium point, the initial conditiondependent extreme multistability easily emerged in such a memristive circuit. These two papers complement oneanother by collectively providing an adaptive control scheme for every parameter in the chuas oscillator. Both use a set of solving functions to plot the points at each time step using chuas equations. The implementation of a chaotic oscillator which is based on chuas circuit, is presented. By replacing chuas diode in the canonical chuas circuit with an ideal voltagecontrolled memristor emulator, a memristorbased canonical chuas circuit is presented in this paper. Chuas circuit is a popular example of a chaotic nonlinear system. Phase dealy of chua diode measured by crosscorrelationlag in the three inner sections of the chua diode seen in. But now i want to do the same with the equations with the parameters r, c1,c2 and l. Fpga realization of multiscroll chaotic oscillators. Firstly, with the system trajectory starting from an equilibrium point, the dynamic behavior of multiple coexisting attractors depending on the memristor initial value and the system parameter is studied, which shows the coexisting behaviors of point, period, chaos, and quasic. This program gives the phase portraits of the memristor based chuas circuit. This tool simulates its behaviour with arbitrary parameters without any constraints imposed by real world analog circuits. A useful list of links related to chuas circuit and chaos.
The zener diode then acts to regulate the output voltage to the zener voltage 10v. Using an oscilloscope you can witness a chua s circuit create the strange attractor known as the double scroll. Memristor based chua oscillator in matlab download free. Chua, memristorthe missing circuit element, ieee transactions on circuit theory 18, 507 519 1971. Using an oscilloscope you can witness a chuas circuit create the strange attractor known as the double scroll. The spice diode block represents a spicecompatible diode spice, or simulation program with integrated circuit emphasis, is a simulation tool for electronic circuits. Bifurcation diagram of chua circuit mathematica stack exchange. Analogue to information converter design using analogue. Aug 05, 2018 the main mechanism that we have for flagging components going outside of a certain operating limit is by using the passive components from simscape electrical resistor, capacitor and inductor, where you have an operating limits tab that allows you to throw warnings or errors if the component goes outside of your prescribed limits. Figure c is a little different and employs standard diodes. Chua oscillator using matlab simulink matlab answers.
When the diode is reverse biased vak software chua oscillator using matlab simulink. Choose a web site to get translated content where available and see local events and offers. Chuas circuit can be modelled by applying the state. In this lab, you will learn how to build very basic circuits, use some of the lab equipment, and use powerful software to plot and analyze data measured from your circuits.
An active chargecontrolled memristive chuas circuit is implemented, and its basic properties are analyzed. Zener diodes are commonly employed in applications as voltage regulators. A chuas circuit, b iv characteristic of chuas diode nrgv 1 for parameters, together with load r in i,u 1 plane. This paper proposed a novel fractionalorder memristorbased chaotic circuit. Chuas circuit diagrams, equations, simlulations and how to build. Autonomous and nonautonomous chuas circuits are of special significance in the study of chaotic system modeling, chaosbased science and engineering applications. Dynamical behavior and image encryption application of a memristorbased circuit system.
The software should configure gpio9 as output, and then setting or clearing this output based on the bit just read. In the function out i have the three dimensionsless equations alpha, beta for the chua circuit. Chuas circuits are some of the simplest kinds of chaotic circuits. A new physical sbtmemristorbased chua s circuit is presented in this paper, using the memristor to replace the chua diode to connect with a negative conductance in parallel.
Dynamic behaviors and the equivalent realization of a. Block diagram of chuas system in the matlabsimulink. Circuit simulation of an analog secure communication based. Update the question so its ontopic for mathematica stack exchange. A memristive diode bridge cascaded with a fractionalorder rl filter constitutes the generalized fractionalorder memristor.
The animation above comes from a matlab simulation of a chuas circuit with nondimensionless equationsthat is, parts of the equation relate to actual physical components of the circuit and can be adjusted to simulate modifcations or the various components you might want to try. Based on your location, we recommend that you select. For the multiscroll chaotic oscillator based on chuas circuit, the mle optimization has also been performed in by varying the pwl function and the coefficient values. Chua s circuits are some of the simplest kinds of chaotic circuits. Circuit simulation of an analog secure communication based on. A matlab function that returns the i3,v2,v1 timeseries for given chua parameter inputs. When the diode is reverse biased vak feb 05, 2015 this is the chua oscillator circuit of matlab simulink but i cant get the output. A useful list of links related to chua s circuit and chaos. When a diode is forward biased vak 0, it starts to conduct with a small forward voltage vf across it. Since hardware and software based design and implementation approaches can be applied to chuas circuits, these circuits are also excellent educative models for studying and.
Generating multiscroll chua s attractors via simplified piecewiselinear chua s diode article pdf available in circuits and systems i. Designing chuas circuit from the behavioral to the transistor level of. Semilog plot of the diode current versus applied bias from matlab graph 4 makes it easy to obtain is. Synchronization, chaotic systems, chaotic chuas system, sliding mode observers, chaos based secure communications. It turns off when the current flow into the device becomes 0. Chua circuit paradigm file exchange matlab central.
The diode rectifier with r, rl and rc load is simulated. Like the classical chuas circuit it consists of a linear inductor l, two linear capacitors c 1 and c 2, a linear resistor r and a parametric chuas diode nr figure 2. A practical guide for studying chuas circuits nonlinear. Index termschaos, chuas diode, chuas circuit, multiscroll chaotic attractor, secure. Realistic chuas circuit while a dimensionless model is what is most commonly used and referred to in academic literature, it is nontheless sometimes useful to deal with a more realistic model the animation above comes from a matlab simulation of a chuas circuit with nondimensionless equationsthat is, parts of the equation relate to actual physical components of. Pdf a matlabbased system is presented to model and simulate a chaotic oscillator at the. Trial software chua oscillator using matlab simulink. Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using software package multisim we consider several electronic circuits, which are represented dynamical systems with hyperbolic chaotic attractors, such as smalewilliams and plykin attractors, and present results of their simulation using the software package n1 multisim 10.
The theory of chuas circuit chaotic dynamics can be described in many different differential equations. A new physical sbtmemristorbased chuas circuit is presented in this paper, using the memristor to replace the chua diode to connect with a negative conductance in parallel. When the diode is reverse biased vak software to plot and analyze data measured from your circuits. I am currently working on a bifurcation diagram for chuas circuit but i am having trouble coming up with code for a bifurcation of a system of equations. They are considered to be a classic example of true chaos due to their design and output. The chuas diode must be constructed as no one manufactures them. Chuas circuit simulation file exchange matlab central. Multiple coexisting attractors in a generalized chuas. The following concepts, components, and tools will be used throughout this lab. This really gives you a good look at the double scroll attractor from all angles and makes the 3dimensional nature of the output more visceral. The mathematical model of the proposed fractionalorder chaotic circuit is established by extending the nonlinear capacitor and inductor in the memristive chaotic circuit. The diode is a semiconductor device that is controlled by its own voltage vak and current iak. Modelling electrical systems in matlab with simscape. Acquiring the sequences while testing this bit generator, i noticed that it presented a systematic bias that is the bitstream was.
You can check out and keep the portable breadboards, vb106 or vb108, from the 111lab for yourself only one each please this is the first of three labs on basic semiconductor components. According to the combinations of circuit elements, memristor, a nonlinear resistor with memory, is predicted by professor chua. Parameter sweeps demonstrate the effect of bifurcation. There are a number of ways to create a chuas diode, which is actually a type of nonlinear resistor. Laser works in conjunction with blaze in the atlas framework to provide numerical solutions for the electrical behavior dc and transient responses and optical behavior of edge emitting fabryperot type lasers diodes. When the diode is reverse biased vak matlab project contains the source code and matlab examples used for chua oscillator. Generating multiscroll chuas attractors via simplified. Make use of voltage transfer characteristics to analyze diode circuit behavior. The different implementations for the chua circuit have been tested for the performance of reconstructing the original signal and the power consumption. Example code using matlab to control and acquire data.
The study is based on simulation using multisim pspice, and matlab software and based on the off the shelf component. Best for those who are beginners in the field of power electronics. In figure b you can see chuas diode made from only resistors and opamps. The simulation tests of the encryption scheme are based on the software platform of matlab r2017a. Chaos in the chua circuit nyu tandon school of engineering. This webinar will provide an overview of major signal processing capabilities of matlab. These beautiful patterns are truly chaotic and can be modeled by relatively. Pdf modeling and simulation of a chaotic oscillator by matlab. The following matlab project contains the source code and matlab examples used for memristor based chua oscillator. The output of the transformer is then rectified using a diode bridge and smoothened using a capacitive filter. The negative slopes of the pwl function associated to chuas diode are different for generating even and odd number of scrolls as well as their break points, and the coefficients are also varied, resulting in the values. Chuas circuit diagrams, equations, simlulations and how. Introduction to matlab for signal processing video. Chua oszillator in matlab, chaos matlab answers matlab.
For example, we have modelled a saturated double scroll. Diode tester using matlab based gui electronics project. Extreme multistability analysis of memristorbased chaotic. Chua oscillator using matlab simulink matlab answers matlab. Furthermore, the nonlinear resistor chuas diode is modeled by an iv. Robert strunz on 8 apr 2018 this is the chua oscillator circuit of matlab simulink but i cant get the output.
The source code and files included in this project are listed in the project files section, please make sure whether the listed source code meet your. Half wave diode based rectifier file exchange matlab central. Dynamical behavior and image encryption application of a. You can get from the r value in the reference which is given by the program. Pdf numerical simulation of chuas circuit oriented to. Mathworks is the leading developer of mathematical computing software for engineers and scientists. The operating system used is 64bit windows 7 flagship. This matlab simulation uses ode45, a medium order method, for the. The circuit shows an ac source fed to a stepdown transformer.
Generating multiscroll chuas attractors via simplified piecewiselinear chuas diode article pdf available in circuits and systems i. Chua circuit has been presented by 4 different implementations. Video created by georgia institute of technology for the course introduction to electronics. The generalized chuas circuit is presented in the schematic diagram figure 1. The computer configuration is intelr pentiumr cpu g3260 and 8 gb ram.
The main mechanism that we have for flagging components going outside of a certain operating limit is by using the passive components from simscape electrical resistor, capacitor and inductor, where you have an operating limits tab that allows you to throw warnings or errors if the component goes outside of your prescribed limits. The operating system used is 64bit windows 7 flagship edition. By replacing the nonlinear diode of the chua circuit with an active fluxcontrolled memristor. Finding hidden attractors in improved memristorbased chuas. The test images are selected from the uscsipi image database and the standard test images commonly used. Chuas diode is realized by using current feedback operational amplifiers cfoas. Index terms chaos, memristor, chaotic behavior, chaos control, feedback control method. Chua s circuit can be modelled by applying the state. Laser is the worlds first commercially available simulator for semiconductor laser diodes. Originally, it is implemented as an analog circuit.