Circuits for voltage tuning the parameters of chuas circuit. Simulation results show that the proposed methods are valid. A chaotic chemical reaction scheme derived from chuas. Handsonexperience with chaos theory for high school students, international journal of bifurcation and chaos, vol. These tools allow students, hobbyists, and professional engineers to design and analyze analog and digital systems before ever building a prototype. Whether in the college laboratory or a professional research laboratory, multisim 11.
This means roughly that it is a nonperiodic oscillator. The genesis of chuas circuit university of california. The circuit was modelled by using multisim software environment. Chuas circuit is the simplest electronic circuit that exhibits classic chaotic behavior 1. Chua s circuit also known as a chua circuit is a simple electronic circuit that exhibits classic chaotic behavior. There are many variations on how to build chuas circuit, but figure a shows the basic design. The book is out of print, so we are posting relevant pages from the book on this website. 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 the circuit and can be. In particular, an adaptive sliding mode observer is developed and practically implemented.
Chua s book titled linear and nonlinear circuits coauthors. The linear resistor r couples a lossless res onant circuit, consisting of a parallel combination of. Multisim integrates industry standard spice simulation with an interactive schematic environment to instantly visualize and analyze electronic circuit behavior. An inductorfree realization of the chuas circuit based on. Observation of chaotic beats in a driven memristive chuas. Note that in the figure to the right that the neg line. With multisim students can characterize circuit behavior ahead of laboratory time. Research article an implementation of chaotic circuits. Simulating chua s circuit return to table of contents first we need to simulate chua s circuit. Introduction the wellknown chuas circuit shown in fig. Based on all the features added to this update this is a complete software installer, therefore the file size is 270 mb. The multisim plots for the dual nor gate are shown in figure 8. Only one component of the state vector of the transmitter, that satisfies the observability matching.
It is third order, reciprocal and has only one nonlinear element. It has been studied worldwide since its invention in 1983 9 and its choatic behavior confirmed by computer simulation and experiment, respectively 1012. The modi ed chuas circuit that realize chaotic behaviour is presented. Chua s circuit is the simplest electronic circuit that exhibits classic chaotic behavior 1. 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. In this paper, a time varying resistive circuit realising the action of an active three segment piecewise linear flux controlled memristor is proposed. First, a multisim simulation circuit for the memristive colpitts oscillator is built, where an emulator constructed by some offtheshelf components is utilized to replace the. Citeseerx document details isaac councill, lee giles, pradeep teregowda. The applet shows a simulation of chua s circuit, plotting the voltage measured across c1 against the voltage measured across c2.
This is the standard chuas circuit used in research and a number of experiments, but there are many different ways to realize the full circuit. Methods one of the reasons that chuas circuit was ideal for studying chaotic behavior is its ease of construction. Its intuitive interface helps educators reinforce circuit theory and improve retention of theory throughout. Feb 15, 20 circuit simulation using national instruments multisim. Sven aberg vt 2014 division of mathematical physics department of physics. Chuas circuit in 1983, electrical engineer leon chua deduced that an analog circuit. The active elements as well as the synthetic inductor employed in this circuit are designed using current feedback operational amplifiers cfoas. Online schematic capture lets hobbyists easily share and discuss their designs, while online circuit simulation allows for quick design iteration and accelerated learning about electronics. For computer simulations, chaos can be observed with only the 3 inner negativeslope segments.
The development and numerical modeling of a chua circuit as a pedagogical tool trent ziemer the physics department at the college of wooster, wooster, oh, 44691, usa dated. Chuas circuit is the simplest electronic circuit that produces chaosthe output of this circuit never repeats the same sequence, and is a. The circuit consists of two capacitors, an inductor, a linear resistor, and a. Chuas circuit a and the 5segment vr ir characteristic b for the nonlinear resistor fyi. This paper implements two kinds of memristorbased colpitts oscillators, namely, the circuit where the memristor is added into the feedback network of the oscillator in parallel and series, respectively. Here is the multisim schematic, click for a screen shot. The phenomenon of chaotic beats in this circuit is observed for a suitable choice of parameters. The smallsignal equivalent circuit corresponding to an equilibrium point lying on anyone of these. The chuas circuit is a simple autonomous third level circuit that exhibits dynamic behavior. Nonlinear dynamics of chaotic attractor of chua circuit and. Experimental characterization of chuas circuit patrick chang,1 edward coyle,1 john parker,1 and majid sodagar2 1school of physics, georgia institute of technology, atlanta, georgia 30332, usa 2school of electrical and computer engineering, georgia institute of technology, atlanta, georgia 30332, usa dated.
The probe only works when the simulation is running. Chua circuit paradigm file exchange matlab central. The circuit that chua designed has been shown to be the simplest autonomous electronic circuit capable of exhibiting chaotic behavior. Simulation of chuas circuit by automatic control of stepsize. In this paper, we report an improved implementation of an inductorless third order autonomous canonical chuas circuit. Using this as the nonlinearity, a driven chuas circuit is implemented. Matsumoto abstracr a chaotic attractor has been observed with an extremely simple autonomous circuit. Chuas circuit is a simple electronic network which exhibits a variety of bifurcation phenomena and attractors. This demonstration plots the solution of chuas equations describing a chemical reaction scheme analogous to chuas electrical circuit. Circuit simulation and physical implementation for a. The wellknown chuas circuit is a simple electronic chaotic circuit. This paper presents an effective technique for both synchronization and secure communication. Nonlinear dynamics of chaotic attractor of chua circuit.
Complete student design projects with ni multisim and ni. Chuas book titled linear and nonlinear circuits coauthors. Multisim and ultiboard ni community national instruments. The chaotic backbone of the circuit comes from chuas circuit, and we employ tcus to produce the logical outputs. The circuit consists of three energy storing elements two capacitors c1 and c2.
Introduction the wellknown chua s circuit shown in fig. The asymptotical stability is proven with lyapunov theory for both of the proposed methods, and the system can be dragged to one of its three unstable equilibrium points respectively. The dynamics of this improved chuas circuit has been extensively studied experimentally in refs. Based on your location, we recommend that you select. The function of nonlinear resistor as see in figure 2, are implemented with the. Post jobs, find pros, and collaborate commissionfree in our professional marketplace. This observer is able to estimate the state vector of the transmitter and then, reconstruct the unknown information hidden in the transmitted with inclusion encryption. Use the icon to wire the oscilloscope to the circuit, or doubleclick it to enter settings and view measurements. Michael peter kennedys classic opamp implementation of chuas circuit 2. Research article an implementation of chaotic circuits with.
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. Chuas circuit is the simplest possible electronic circuit that can exhibit chaotic behavior. Multisim is industry standard spice simulation and circuit design software for analog, digital, and power electronics in education and research. Nov 22, 2017 in developing these complete systems, ni multisim plays an integral role, providing students the ability to design circuitry and physically prototype custom interfaces extending the io capabilities in creating an integrated solution. Kennedys circuit uses tl082 opamps and utilizes a different form of chuas diode than did juhoeric. In this circuit, no matter whether the memelement is memristor, memcapacitor, or meminductor, the chaotic circuit structure does not change, and all can. Implementation of chuas circuit with a cubic nonlinearity.
This demonstration plots the solution of chua s equations describing a chemical reaction scheme analogous to chua s electrical circuit. Chuas circuit from the linear system perspective i. The development and numerical modeling of a chua circuit. Pictured is a graph of the nonperiodic orbit in chuas circuit, each dimension representing the voltage or current in a particular component of the circuit. With the latest release of multisim and ultiboard 11. A window will open up and you type in the name of the subcircuit. Michael peter kennedy s classic opamp implementation of chua s circuit 2. Multisim is a circuit simulation tool built for educators to teach analog, digital, and power electronics by connecting simulation to experimentation. Free to try national instruments windows 2000xpvista7 version 12. A feedback control method and an adaptive feedback control method are proposed for chua s circuit chaos system, which is a simple 3d autonomous system. The effects on timesimulation by automatic control of stepsize is presented to simulate the behavior of chuas circuit, which consist of five circuit elements. Ni multisim student edition 14 download for pc free. Using this as the nonlinearity, a driven chua s circuit is implemented.
The initial values of the parameters used in the applet correspond to the component values in the circuit diagram, and show a simple periodic. Chuas circuit also known as a chua circuit is a simple electronic circuit that exhibits classic chaotic behavior. Multisim base multisim full multisim power pro multisim mcu module ultiboard full ultiboard power pro. Chua s circuit is a simple electronic network which exhibits a variety of bifurcation phenomena and attractors. A universal emulator for memristor, memcapacitor, and. How to add components in multisim the placecomponents option opens the select component window to define the group of components and choose the one to add. Chua, who was a visitor at waseda university in japan at that time. In this paper, we report an improved implementation of an inductorless third order autonomous canonical chua s circuit. Chuas circuit is the simplest electronic circuit that satisfies these criteria. Systems behaviour is investigated through numerical simulations, by using well. 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.
This circuit having a simple nonlinear element designed to be accurately piecewiselinear modelled. You should read the class textbook and study these notes for understanding the course material. It is solely the nonlinear resistor that makes chuas circuit nonlinear. The applet shows a simulation of chuas circuit, plotting the voltage measured across c1 against the voltage measured across c2. The same classical chuas circuit has been modified by replacing the chuas diode and discrete inductor coil with cfoa based nonlinearity and synthetic inductor.
We then made a physical realization of the circuit with mostly the same components as the multisim simulations. December 10, 2014 the electrical circuit created by and named for leon chua was constructed using discrete components and then compared with two computational models. 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. An inductorfree realization of the chuas circuit based. Chua s circuit is the simplest electronic circuit that satisfies these criteria. The initial values of the parameters used in the applet correspond to the component values in the circuit. Simulating chuas circuit return to table of contents first we need to simulate chuas circuit. In addition, this remarkable circuit is the only physical system for which the presence of chaos has been proved. The memristor acts as a chaotically time varying resistor. All the components for chuas circuit are standard, offtheshelf items except for the negative nonlinear resistor. Ni multisim is one of the best tools available for electronics and circuit design students, teachers and professional workers. My simulation of chuas circuit using tl082 opamps i have made my own ltspice simulation of chuas circuit using the paper cited earlier by michael kennedy as a guide. Improved realization of canonical chuas circuit with. Introduction to chuas circuit a schematic of chuas circuit is shown in figure 1.
Circuits for voltage tuning the parameters of chuas. The memristor acts as a chaotically time varying resistor ctvr, switching. Section 2 introduces the chua circuit, and shows why it is one. After these studies, many chaotic novels and hyperchaotic systems. Chua s circuit a and the 5segment vr ir characteristic b for the nonlinear resistor fyi. Finally, the chaotic secure communication system is simulated with matlab and then practically implemented by electrical circuits with multisim software and ultiboard software. The anatomy of the chua circuit bachelor thesis equivalent to 15 ects jakob lavrod supervisor. Apr 18, 2015 pictured is a graph of the nonperiodic orbit in chuas circuit, each dimension representing the voltage or current in a particular component of the circuit. The shape of its orbits is called a double scroll, in the center of each half is the attractor. An inductorfree realization of the chuas circuit based on electronic analogy 391 of wienbridge 15 and inductance emulator circuits based on transistors 16, voas 17, cfoas 12, otas 18, 19 and ftfn 20. A feedback control method and an adaptive feedback control method are proposed for chuas circuit chaos system, which is a simple 3d autonomous system. Control of the modified chaotic chuas circuit using. Choose a web site to get translated content where available and see local events and offers.
In developing these complete systems, ni multisim plays an integral role, providing students the ability to design circuitry and physically prototype custom interfaces extending the io capabilities in creating an integrated solution. Circuit simulation using national instruments multisim. Qualitative models and experimental investigation of. Apr 28, 2014 the simplest circuit that could give rise to oscillatory or chaotic waveforms must include at least one locally active chua, 1998, chua, 2005 nonlinear element, powered by a battery, such as the chua diode shown in figure 1, characterized by a current vs. In this paper, a time varying resistive circuit realizing the action of an active three segment piecewise linear flux controlled memristor is proposed. Chuas circuit as a musical oscillator chaoscillation. There are many variations on how to build chua s circuit, but figure a shows the basic design. This corresponds to the display on an xy oscilloscope with probes connected across these capacitors. Designing electric circuits is one of the most complicated disciplines of the electrical. The development and numerical modeling of a chua circuit as a.738 833 834 1429 1451 695 725 1302 1384 1484 1662 1136 306 954 1220 61 1224 386 532 1332 1534 847 534 1565 271 575 634 486 454 584 1375 971 1210 1230 1276 721 1268 1372