Leon O. Chua

Leon O. Chua
University of California, Berkeley | UCB · Computer Science Division

About

889
Publications
102,463
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72,649
Citations
Citations since 2016
48 Research Items
20978 Citations
201620172018201920202021202205001,0001,5002,0002,5003,000
201620172018201920202021202205001,0001,5002,0002,5003,000
201620172018201920202021202205001,0001,5002,0002,5003,000
201620172018201920202021202205001,0001,5002,0002,5003,000

Publications

Publications (889)
Article
Full-text available
The Chua's circuit has been considered as a paradigm for the investigation of chaos, but it still presents many unexplored dynamics. Chaotic hysteresis is an effect observed when the hysteresis phenomenon and chaotic dynamics phenomenon act simultaneously. It is an interesting phenomenon since it is observed in a variety of disciplines, and it has...
Article
A general phenomenological model of the kinetics of thermally induced structural phase transitions in multi-phase alloys is introduced for arbitrary numbers of lattice phases and transitions. The model is based on a system of ODEs yielding the temporal evolution of lattice phase fractions caused by temperature variation described by a heat balance...
Article
Full-text available
Random telegraph noise (RTN) owns its very name to its assumed stochastic nature. In this paper, we follow up previous works that questioned this stochastic nature, and we investigate this assumption using experimentally measured noise coming from properly biased Ni/HfO2 unipolar Resistive RAM memristor nanodevices. We have used established, well–k...
Article
Full-text available
Memristors were proposed in the early 1970s by Leon Chua as a new electrical element linking charge to flux. Since that first introduction, these devices have positioned themselves to be considered as possible fundamental ones for the generations of electronic devices to come. In this paper, we propose a new way to investigate the effects of the el...
Preprint
Memristors were proposed in the early ’70s of the XXth century by Leon Chua as a new electrical element linking the charge and the flux. Since that first introduction, these devices have positioned themselves to be considered as possibly fundamental for the new generations of electronic devices. It has to be mentioned that actual memristors have on...
Article
Full-text available
Random telegraph noise (RTN) owns its very name to its assumed stochastic nature. In this paper, we follow up previous works that questioned this stochastic nature, and we investigate this assumption using experimentally measured noise coming from properly biased Ni/HfO 2 unipolar Resistive RAM memristor nanodevices. We have used established, well–...
Article
Full-text available
Memristors were first proposed in 1971 by Leon Chua. These devices are usually regarded as being one of the newest fundamental breakthrough for electronics. Their role in designing new electronic systems is expected to be an important, key-factor. As an example, they already come in many forms: PCA, ReRAM, etc., to mention a few. In any case, since...
Article
We present a compact, continuous, and numerically stable version of a tantalum oxide (TaOx) memristor model which can be employed for robust and reliable simulations of large scale memristor based circuits. The original model contains a piecewise differentiable function in the memductance expression and discontinuous step functions in the state equ...
Article
This paper presents a circuit-theoretic analysis of a NbO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -Mott memristor fabricated at Hewlett-Packard Labs. It investigates mechanisms behind the origin of complexity based on local activity, which characterizes the behavior of this outstanding...
Article
We present and experimentally validate two minimal compact memristive models for spiking neuronal signal generation using commercially available low-cost components. The first neuron model is called the Memristive Integrate-and-Fire (MIF) model, for neuronal signaling with two voltage levels: the spike-peak, and the rest-potential. The second model...
Preprint
Full-text available
The dynamical electric behavior of a NiTi smart alloy thin filament when driven by time varying current pulses is studied by a structure-based phenomenological model that includes rate-based effects. The simulation model relates the alloy's electrical resistivity to the relative proportions of the three main structural phases namely Martensite, Aus...
Preprint
Full-text available
The dynamical electric behavior of a NiTi smart alloy thin filament when driven by time varying current pulses is studied by a structure-based phenomenological model that includes rate-based effects. The simulation model relates the alloy's electrical resistivity to the relative proportions of the three main structural phases namely Martensite, Aus...
Article
Full-text available
Resistive Random Access Memories (RRAMs) are based on resistive switching (RS) operation and exhibit a set of technological features that make them ideal candidates for applications related to non-volatile memories, neuromorphic computing and hardware cryptography. For the full industrial development of these devices different simulation tools and...
Article
Full-text available
Local activity is the capability of a system to amplify infinitesimal fluctuations in energy. Complex phenomena, including the generation of action potentials in neuronal axon membranes, may never emerge in an open system unless some of its constitutive elements operate in a locally active regime. As a result, the recent discovery of solid-state vo...
Article
In this paper, we analyze the reset transition in bipolar TiN/Ti/HfO2 (10 nm)/Al2O3(2 nm)/W ReRAM devices using a tool that allows studying the temporal behaviour of these devices. This tool, the Dynamic Route Map (DRM), provides information about the temporal evolution of the state variable that governs the behaviour of the device, thus allowing a...
Article
In the memristive version of a standard space-invariant Cellular Nonlinear Network, each cell accommodates one first-order non-volatile memristor in parallel with a capacitor. In case, the resistance switching memory may only undergo almost-instantaneous switching transitions between two possible resistive states, acting at any time, as either the...
Article
Full-text available
Memristors represent the fourth electrical circuit element complementing resistors, capacitors and inductors. Hallmarks of memristive behavior include pinched and frequency-dependent I–V hysteresis loops and most importantly a functional dependence of the magnetic flux passing through an ideal memristor on its electrical charge. Microtubules (MTs),...
Article
If the memristor, used in each cell of a memristive variant of the standard space-invariant Cellular Nonlinear Network (CNN), undergoes analogue memductance changes, the processing element operates as a second-order system. The Dynamic Route Map (DRM) technique, applicable to investigate first-order systems only, is no longer relevant. In this manu...
Article
This paper presents the theory of a novel memcomputing paradigm based upon a memristive version of standard Cellular Nonlinear Networks. The insertion of a nonvolatile memristor in the circuit of each cell endows the dynamic array with the capability to store and retrieve data into and from the resistance switching memories, obviating the current n...
Article
A general solution for the construction of Cellular Neural Network (CNN) weights (cloning template) with Random Weight Change (RWC) algorithm is proposed. A target image for each input image is prepared via a sketch or any other kind of image processing technique for learning of Cellular Neural Network templates. A vector of randomly generated smal...
Article
Full-text available
Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua circuit is revisited. The scenario of the chaotic dynamics development and the birth of selfexcited and hidden attractors is studied. It is shown a pitchfork bifurcation...
Article
Several results on instability in nonhomogeneous architectures able to generate Turing patterns are presented. The approach makes use of the continuity theorem regarding the dependence of polynomial roots on coefficients and of the root-locus techniques for small, and large parameter deviations from their homogeneous values, respectively. The resul...
Article
Full-text available
This paper presents a detailed analysis of various oscillatory behaviors observed in relation to the calcium and potassium ions in the third-order Morris–Lecar model of giant barnacle muscle fiber. Since, both the calcium and potassium ions exhibit all of the characteristics of memristor fingerprints, we claim that the time-varying calcium and pota...
Article
Memristors, which are the fourth kind of passive element, along with resistors, inductances and capacitors, were first explicitly described in [1]. Their main characteristics are: (i) if there is no voltage across its terminals, there is no current; and (ii) the I-V curve shows a hysteresis that depends on the frequency of the forcing signal. Equat...
Chapter
This paper proposes the introduction of appropriate continuous and differentiable approximations to discontinuous and piecewise differentiable functions respectively adopted in state equation and Ohm’s based law of the mathematical model of an extended memristor recently fabricated at Hewlett Packard labs. The study of this model is particularly ti...
Article
Full-text available
The Chua Corsage Memristor is the simplest example of a passive but locally active memristor endowed with two asymptotically stable equilibrium points [Formula: see text] and [Formula: see text] when powered by an E-volt battery, where [Formula: see text]. The basin of attraction is defined by [Formula: see text], [Formula: see text] for [Formula:...
Chapter
In a recent publication (Yi et al. 2011) elucidating a possible scheme to write information reliably onto a memory crossbar, Hewlett Packard Labs researchers employed a thyristor-based circuit to emulate the off-to-on switching behaviour of a titanium oxide memristor. The use of a thyristor device allowed them to test inexpensively and reliably the...
Chapter
Full-text available
This paper presents a simple oscillator using a battery and a second order memristor without the energy storage elements inductor and capacitor. The oscillating mechanism of the proposed circuit has been explained via Hopf bifurcation theorem, small signal model, local activity principle and edge of chaos theorem. This paper can be also used as a r...
Article
In order to explore the coupling inter-relationship between two closely placed memristors (MRs), a new circuit for emulating MRs is proposed. The coupling behavior between closely placed MRs is achieved by making use of the inductive coupling properties of two inductors. The most attractive advantages of this emulator are the unique capability that...
Article
Full-text available
We introduce a novel method revealing hidden bifurcations in the multispiral Chua attractor in the case where the parameter of bifurcation c which determines the number of spiral is discrete. This method is based on the core idea of the genuine Leonov and Kuznetsov method for searching hidden attractors ( i.e. applying homotopy and numerical contin...
Article
Full-text available
Ahybrid learningmethod of a software-based backpropagation learning and a hardware-based RWClearning is proposed for the development of circuit-based neural networks. The backpropagation is known as one of the most efficient learning algorithms. A weak point is that its hardware implementation is extremely difficult. The RWC algorithm, which is ver...
Article
The tantalum oxide memristor may have a promising future as key element in innovativevery-high speed ultra-low power extra-large density nonvolatile memories. It is therefore timely andrelevant to investigate the nonlinear dynamics of this device in view of the interesting opportunities itmay open up in the world of electronics in the years to come...
Article
Part I has provided theoretical insights on the concept of local fading memory, and analysed a purely mathematical memristor model which, under DC and AC periodic stimuli, experiences memory loss in each of the basins of attraction of two locally-stable state-space attractors. This paper designs the first ever real memristor with bistable stationar...
Article
It was recently shown that a current-controlled extended memristor may exhibit bistable steady-state behaviour under DC as well as AC periodic stimuli. This paper employs standard techniques from the nonlinear dynamics theory as well as circuit and system theoretic concepts to explain the origin of the asymptotic bistable behaviour, which is the si...
Article
The formation of ordered structures, in particular Turing patterns, in complex spatially extended systems has been observed in many different contexts, spanning from natural sciences (chemistry, physics, and biology) to technology (mechanics and electronics). In this paper, it is shown that the use of memristors in a simple cell of a spatially-exte...
Article
Full-text available
An electronic oscillator circuit is designed by connecting an inductor in series with a locally-active PTC Memristor and a battery. The PTC Memristor is locally active on the negative resistance region of its DC VM-IM curve. A DC operating point Q is chosen on the locally-active region of the PTC Memristor and a small-signal equivalent circuit at Q...
Article
In this paper, we show that parasitic elements have a significant effect on the dynamics of memristor circuits. We first show that certain 2-terminal elements such as memristors, memcapacitors, and meminductors can be used as nonvolatile memories, if the principle of conservation of state variables hold by open-circuiting, or short-circuiting, thei...
Conference Paper
Full-text available
The principle of local activity originated from electronic circuits, but can easily translate into other non-electrical homogeneous/heterogeneousmedia.Cloudresourceisanexample of a locally-active device, which is the origin of complexity in cloud scheduling system. However, most of the researchers implicitly assume the cloud resource to be locally...
Article
This work presents a detailed study of the nonlinear dynamics of a tantalum oxide memristor recently fabricated at Hewlett Packard Labs. Our investigations uncover direct current, quasi-static, and alternating current behavior of the nanodevice. A thorough study of the dynamics emerging in the nanoscale element under various input/initial condition...
Article
The generation of action potentials (oscillations) in biological systems is a complex, yet poorly understood nonlinear dynamical phenomenon involving ions. This paper reveals that the time-varying calcium ion and the time-varying potassium ion, which are essential for generating action potentials in Barnacle giant muscle fibers are in fact generic...
Article
This study firstly presents (i) a novel general cellular mapping scheme for two dimensional neuromorphic dynamical systems such as bio-inspired neuron models, and (ii) an efficient mixed analog-digital circuit, which can be conveniently implemented on a hybrid memristor-crossbar/CMOS platform, for hardware implementation of the scheme. This approac...
Article
This paper classifies all memristors into three classes called Ideal, Generic, or Extended memristors. A subclass of Generic memristors is related to Ideal memristors via a one-to-one mathematical transformation, and is hence called Ideal Generic memristors. The concept of non-volatile memories is defined and clarified with illustrations. Several f...
Article
Full-text available
This work presents a continuous and differentiable approximation of a Tantalum oxide memristor model which is suited for robust numerical simulations in software. The original model was recently developed at Hewlett Packard labs on the basis of experiments carried out on a memristor manufactured in house. The Hewlett Packard model of the nano-scale...
Article
Memristors, acting as artifi cial synapses, have promised their prospects in neuromorphic systems that imitate the brain’s computing paradigm. However, most studies focused on the understanding of the memristive mechanism and how to optimize the synaptic performance, and the implementations of higher-order cognitive functions are quite limited. Her...
Article
This paper reports on the dynamic behavior of dual coupled memristors (MRs) in serial and parallel connections in consideration of polarity combination and coupling strength. Based on the constitutive relations, two flux coupled MRs are adopted for demonstration to theoretically exhibit the variation of memductance in terms of flux, charge, voltage...
Article
Memristor, memcapacitor, and meminductor are new fundamental circuit elements, whose properties depend on the history of devices. This paper presents the physical analysis of these memory devices. Three simple examples are given for the memristor, memcapacitor, and meminductor, and are then generalized to reveal their general physical origin. It is...
Article
Full-text available
In this paper, a generic model of memristive systems, which can emulate the behavior of real memristive devices is proposed. Non-ideal pinched hysteresis loops are sometimes observed in real memristive devices. For example, the hysteresis loops may deviate from the origin over a broad range of amplitude and frequency of the input signal. This devia...
Article
Contrary to the traditional belief that at least two energy-storage elements (capacitor and/or inductor) and a locally-active nonlinearity are needed to build an electronic oscillator, this paper presents an oscillator made with only two circuit elements, namely, a memristor and a battery. This simplest of all physical oscillators also serves as a...
Article
Full-text available
In this paper, we propose a memristor emulator that embraces most of features of a real memristor. The important features that a memristor emulator should include are a sufficiently wide range of memristance, bimodal operability of pulse and continuous signal inputs, a long period of nonvolatility, floating operation, operability with other devices...
Article
Memristor-based circuit architecture for multilayer neural networks is proposed. It is a first of its kind demonstrating successful circuit-based learning for multilayer neural network built with memristors. Though back-propagation algorithm is a powerful learning scheme for multilayer neural networks, its hardware implementation is very difficult...
Article
Memristors, acting as artificial synapses, have promised their prospects in neuromorphic systems that imitate the brain's computing paradigm. However, most studies focused on the understanding of the memristive mechanism and how to optimize the synaptic performance, and the implementations of higher-order cognitive functions are quite limited. Here...
Chapter
This chapter consists of two parts. Part I gives a circuit-theoretic foundation for the first four elementary nonlinear 2-terminal circuit elements, namely, the resistor, the capacitor, the inductor, and the memristor. Part II consists of a collection of colorful “Vignettes” with carefully articulated text and colorful illustrations of the rudiment...
Article
Full-text available
Abstract The memristor, a resistor with memory, was postulated by Chua in 1971 and the first solid-state memristor was built in 2008. Recently, we found memristors in vivo in plants. Here we propose a simple analytical model of two types of memristors that can be found within plants. The electrostimulation of plants by bipolar periodic waves induce...
Article
Full-text available
ABSTRACT The fourth basic circuit element, a memristor, is a resistor with memory that was postulated by Chua in 1971. Here we found that memristors exist in vivo. The electrostimulation of the Mimosa pudica by bipolar sinusoidal or triangle periodic waves induce electrical responses with fingerprints of memristors. Uncouplers carbonylcyanide-3-chl...
Article
This brief proposes a universal mutator for transformations among memristor, memcapacitor, and meminductor by making use of only three off-the-shelf active devices. The mathematical relations among circuit variables before and after transformation are analyzed in terms of the connection combinations of five circuit elements. The experimental analys...
Article
This paper presents an in-depth review of the memristor from a rigorous circuit-theoretic perspective, independent of the material the device is made of. From an experimental perspective, a memristor is best defined as any two-terminal device that exhibits a pinched hysteresis loop in the voltage–current plane when driven by any periodic voltage or...
Conference Paper
Séminaire commun des équipes : EDP et Interfaces Vendredi 12 Septembre à 11h Salle n°1 du Laboratoire J. A. Dieudonné Nous accueillerons le Professeur Leon Chua Résumé: Although postulated in 1971, the memristor has attracted worldwide attention from academia and industry only after Hewlett-Packard published a working nano-memristor device in the...
Article
Full-text available
Memristor, the missing fourth passive circuit element predicted forty years ago by Chua was recognized as a nanoscale device in 2008 by researchers of a H. P. Laboratory. Recently the notion of memristive systems was extended to capacitive and inductive elements, namely, memcapacitor and meminductor whose properties depend on the state and history...
Conference Paper
In this paper, we present a device to be a memristor should exhibit three characteristic fingerprints: (a) Pinched hysteresis loop in the voltage v vs. current i plane, namely, the v-i loci always passes through origin for any bipolar periodic input voltage v(t). (b) Beyond a certain critical frequency ω*, the area of the pinched hysteresis lobe de...
Article
Discharge lamps can be classified as high-pressure and low-pressure lamps, which operate under different scientific principles. They have exhibited the well-known fingerprints of memristors. This paper describes the mathematical models of both of high- and low-pressure discharge lamps based on their respective physical nature and behaviors, and the...
Conference Paper
Recently, scientific communities in electrical engineering, material science, biophysics and nano-technologies have paid special attention to memristor devices. Several physical and mathematical memristor models have been proposed to describe devices developed for nonvolatile memory applications and neuromorphic systems. The aim of the paper is to...
Conference Paper
Full-text available
In this paper, we show a simple circuit setup for experimentally plotting the v - i non-transversal pinched-hysteresis Lissajous fingerprint of a physical memristor - the common fluorescent gas discharge tube. The setup helped us investigate the effects of physical parasitics (inductors and capacitors) on the memristor v - i.
Conference Paper
In this paper, we show a simple cir- cuit setup for experimentally plotting the v − i non- transversal pinched-hysteresis Lissajous fingerprint of a physical memristor - the common fluorescent gas discharge tube. The setup helped us investigate the effects of physical parasitics (inductors and capacitors) on the memristor v − i.
Conference Paper
In the current paper, it has been demonstrated through experimental results, historical citations and technical arguments that coherer (including cat's whisker) is the elusive memristor. The current paper draws parallel between the research pursued by scientists in the field of memristor and that in coherer, around a century back. The paper discuss...