Examples of the analysis and synthesis of oscillators using such equations are presented. The basic concept of memristive based relaxation oscillators in the circuit theory is also covered. R are discussed as a function of the reference voltage where the generalized formulas of the oscillation frequency and conditions for oscillation for each. Implementation and design of highpower fast charger for. In the paper, a fourthorder sbtmemristorbased chaotic system described by the fluxcontrolled model is investigated. Simulation results show that our memristor acu offers less. Radwan, power dissipation of memristorbased relaxation oscillators r a r inb 1 k,k0 b 379 m 2c,and f 100 hz. Practical approach to programmable analog circuits with. These circuits are obtained by replacing the nonlinear resistor in the four element chuas circuit with a memristor. The proposed oscillators require no reactive components, that is, inductors or capacitors, rather, the resistance storage property of memristor. Oct 27, 2011 the first reactance less oscillator is introduced.
On the mathematical modeling of memristor, memcapacitor, and meminductor. What is memristor know all about memristor technology. A chaotic oscillator based on the memristor is analyzed from a chaos theory viewpoint. The authors introduce a generalized memristor model in the fractionalorder domain under different input and different designs for emulator based memelements, with circuit and experimental results. A variation tolerant scheme for memristor crossbar based neural network designs via twophase weight mapping and memristor programming.
There is some evidence that the choice of electrode material can hinder the production of o 2, for example, it is thought aluminium supports tio 2 memristance by acting as a source or sink of oxygen ions 74, 88. The memristor and selector devices are the most promising candidates in the research of emerging memory technologies and neuromorphic computing applications. A family of memristorbased reactanceless oscillators core. Devices based on domain wall motion in free layer in plane current device or perpendicular current devices. Circuit simulation and physical implementation for a. Memristor based chaotic circuits eecs at uc berkeley. Same procedure can be applied for any second order memristorbased oscillator. This paper presents an improved memristor based relaxation oscillator which offers higher frequency and wider tunning range than the existing reactance less oscillators. Jan 15, 2009 in this work, we present two memristor based chaotic circuits. By using a memristor, the oscillator can be fully implemented onchip without the need for any capacitors or inductors, which results in an areaefficient fully integrated solution. May 14, 2018 the history of the memristor is fascinating and long. This model is used in the analysis of memristorbased wienfamily oscillators 11.
Design of fully cmos memristor based chaotic circuit 4. On the mathematical modeling of memristor, memcapacitor. Lithex114455 a study of the memristor models and applications 3 of 115. The concept of operation of the proposed oscillator is explained and detailed mathematical analysis is introduced. International journal of circuit theory and applications 42, 1103 2014. It has been derived from chuas circuit by replacing the chua diode colored blue with the. The hewlettpackard memristor is a passive nonlinear twoterminal circuit element that maintains a functional relationship between the time integrals of current and voltage. It also has the capability of operating on two positive supplies or alternatively a positive and negative supply. Zidan ma, omran h, smith c, syed a, radwan ag, salama kn. Hence, these chaotic circuits use only the four basic circuit elements. In the paper, a fourthorder sbt memristor based chaotic system described by the fluxcontrolled model is investigated. Memristor has immense performance in terms of size and power dissipation.
The types of oscillators that were presented are the memristorbased third order oscillator 9, the memristorbased wien oscillator101112 and the memristorbased reactanceless oscillator. Memristorbased reactanceless oscillator semantic scholar. Memristor applications a memristor is a twoterminal device with a variable resistance, which can be used in many applications including neuromorphic systems, logic circuits and digital memory. 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 memristor. It thus took its place along side the rest of the more familiar circuit elements such as the resistor, capacitor, and inductor. Its terminal characteristics can be defined by a hybrid matrix giving the output of the five ports in terms of their corresponding inputs as shown in 28. In particular, the size of a memristor can be very small, down to 30.
Reactanceless rm relaxation oscillator using exponential. Salama, random number generation based on digital differential chaos, ieee international midwest symposium on circuits and systems mwscas. Most manufacturers will embrace this technology only after a wellfunctioning, largescale array is clearly demonstrated. The stability of the chaotic system is analyzed, and the effects of initial conditions and circuit parameters on the sbt memristor based chaotic circuit are discussed by mathematical methods of lyapunov exponents spectra. Radwan, power dissipation of memristor based relaxation oscillators r a r inb 1 k,k0 b 379 m 2c,and f 100 hz.
On the mathematical modeling of memristor, memcapacitor, and meminductor 123. The stability of the oscillator with terminal sliding mode control is analyzed using lyapunov criteria. However, only a few studies on hp memristor based oscillators have reported. The information storage is based on the value of resistance that memristor holds. The types of oscillators that were presented are the memristor based third order oscillator 9, the memristor based wien oscillator101112 and the memristorbased reactanceless oscillator. Improved memristorbased relaxation oscillator sciencedirect. The proposed oscillators require no reactive components, that is, inductors or capacitors, rather, the resistance storage property of memristor is exploited to generate the oscillation. In, a chaotic oscillator based on the hp tio 2 memristor is introduced, which is very important for practical applications of memristor. Effects of initial conditions and circuit parameters on the.
Memristorbased reactanceless oscillator request pdf. Implementing memristor based chaotic circuits 37 fig. International journal of circuit theory and applications. A floating memristor emulator based relaxation oscillator. Salama, high performance technique for database applications using hybrid gpucpu platform, ieeeacm great lakes symposium on vlsi glsvlsi, 8590, lausanne, switzerland. The main goal is to stabilize the chaotic chuas memristorbased oscillator and to track the sinusoidal reference input. Jul, 2017 the aspects of design of reactance less oscillators based on memristors are considered.
A compact, lowfrequency, memristorbased oscillator. On the mathematical modeling of memristor, memcapacitor, and. Memristive sisyphus circuit for clock signal generation. In this paper, we derive several nonlinear oscillators from chuas oscillators by replacing chuas diodes with memristors. Fundamentals of memristors 30 april 2015 workshop on memristive systems for space applications 30 april 2015 estec, noordwijk, nl. The charging and discharging of a reactive element is replaced by the increase and decrease of the memristor resistance. Such wien oscillator has four basic structures, which constitute the wien family. Memristor, power, reactanceless, memristive circuits, oscillators. The types of oscillators that were presented are the memristor based third order oscillator 9, the memristor based wien oscillator101112 and the memristor based reactance less oscillator. The aspects of design of reactanceless oscillators based on memristors are considered. In this paper, we present for the first time a family of memristorbased reactanceless oscillators mrlos.
Sensitivity to initial conditions is studied by considering a nonlinear model of the system, and also a new chaos analysis methodology based on the energy distribution is presented using the discrete wavelet transform dwt. Pdf summary in this paper, we present for the first time a family of memristorbased reactanceless oscillators mrlos. The mathematical analyses of different memristorbased reactanceless oscillators are introduced, for example, a memristorbased voltagecontrolled oscillator is introduced with two different topologies in addition to the effect of the boundary of the memristor on. It was described and named in 1971 by leon chua, completing a theoretical quartet of fundamental electrical components which comprises also the resistor, capacitor and inductor. However, only a few studies on hp memristorbased oscillators have reported.
Nanoscale memristor device as synapse in neuromorphic. Based on this equation, it is found that an opposite behavior to the memristor can exist in a nonlinear inductor or a nonlinear capacitor both with quadratic nonlinearity or a derivativecontrolled nonlinear resistortransconductor which we refer to as the inverse memristor. Generalized model for memristorbased wien family oscillators. The operation of rram devices was recently connected to the memristor concept according to the characterizing mathematical relations, the memristor would hypothetically operate in the following way. Memristor is defined as memory resistor, which subtend that information could be storage 2. Here we demonstrate a new miniaturized clock signal generator based on a memristive. Then, using advance design system ads software, implementation of chaotic. The history of the memristor is fascinating and long. International journal of circuit theory and applications 20. In this paper, we present for the first time a family of memristor. The basic concept of memristivebased relaxationoscillators in the circuit theory is also covered. Operating principles of reactanceless memristorbased. To understand the device properties and guide for future applications, models for those devices based on physical mechanisms are essential.
In this work, we present two memristor based chaotic circuits. By replacing one of the resistor in the wien oscillator by the memristor, the memristor based wien oscillator can. Salama, a family of memristorbased reactanceless oscillators, international journal of circuit theory and applications, 4311, 11031122 pdf. The authors introduce a generalized memristor model in the fractionalorder domain under different input and different designs for emulatorbased memelements, with circuit and experimental results. A family of memristorbased reactanceless oscillators.
Writing in our reverse engineering column in this issue of nature electronics, leon chua explains how being tasked with revamping the. By using a memristor, the oscillator can be fully implemented onchip without the need for any capacitors or inductors, which results in an area. Request pdf memristorbased reactanceless oscillator the first. Recently, reactanceless memristive relaxation os cillators are a. The operation of memristorbased digital potentiometers requires less. Implementing memristor based chaotic circuits bharathwaj muthuswamy november 8, 2009 1 introduction the memristor was postulated as the fourth circuit element by leon o. Generally, the wien family oscillators have the same characteristic equation, and hence the same condition of oscillation. This resistance changes under toggle conditions, e. Generally, the wien family oscillators have the same characteristic equation, and hence the. The operation of memristorbased digital potentiometers requires less transistors. Memristor based pulse train generator springerlink. The equations describing the dynamical behavioral of the memristor oscillators with the use of lineardrift models are presented. Four element memristor based chaotic circuit showing only the basic circuit elements.
The memristor pulse series oscillator based on the schmitt trigger with a memristor and a capacitor at the input is discussed. Abstractthe cessation of moores law has limited further improvements in power ef. But this circuit makes use of two hp memristors in parallel with opposite polarities, thereby showing a defect for circuit complexity. The requirements on load elements in the circuits of such oscillators are formulated. The charging and discharging of a reactive element is replaced by the. The memristor has attracted phenomenal worldwide attention since its debut on 1 may 2008 issue of nature in view of its many potential applications, e. Pdf a family of memristorbased reactanceless oscillators. Physical memristor structure based on the simmons tunnel barrier model. Effects of initial conditions and circuit parameters on. Memristor oscillators international journal of bifurcation. This paper presents an improved memristorbased relaxation oscillator which offers higher frequency and wider tunning range than the existing reactanceless oscillators.
Most memristor based modelling has concentrated on modelling the ow of these oxygen vacancies see later. The aspects of design of reactance less oscillators based on memristors are considered. The same analysis can be easily applied to the family of circuits presented in this paper but. 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. The framework is integrated with our programmable memristor acus. The memristors electrical resistance is not constant but depends on the history of current that had previously flowed through the device, i. Summary in this paper, we present for the first time a family of memristor. May 20, 2016 here we demonstrate a new miniaturized clock signal generator based on a memristive.
1499 363 452 652 491 1429 1221 379 1405 23 438 1552 839 380 832 400 598 1550 1225 1162 576 993 475 981 388 1345 836 452 1029 608 414 535 175 1383 1487 1010