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In 2008, it was widely announced that the missing memristor, a basic two-terminal electrical circuit element, had finally been discovered. The memristor is the fourth and last such circuit element and thus completes circuit theory.…

General Physics · Physics 2012-08-08 Sascha Vongehr

We discuss the properties of the dynamics of purely memristive circuits using a recently derived consistent equation for the internal memory variables of the involved memristors. In particular, we show that the number of independent memory…

Disordered Systems and Neural Networks · Physics 2017-07-11 Francesco Caravelli

Memristors are nonlinear passive circuit elements which can be thought as time varying resistances. When connected in a complex circuit these exhibit very exotic behavior, typical of disordered systems, such as a universal slow relaxation…

Adaptation and Self-Organizing Systems · Physics 2017-12-22 Francesco Caravelli

In this paper, we briefly review the concept of memory circuit elements, namely memristors, memcapacitors and meminductors, and then discuss some applications by focusing mainly on the first class. We present several examples, their…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Y. V. Pershin , J. Martinez-Rincon , M. Di Ventra

This article presents a review on the main applications of the fourth fundamental circuit element, named "memristor", which had been proposed for the first time by Leon Chua and has recently been developed by a team at HP Laboratories led…

Materials Science · Physics 2015-06-24 Roberto Marani , Gennaro Gelao , Anna Gina Perri

Memristors are resistive elements retaining information of their past dynamics. They have garnered substantial interest due to their potential for representing a paradigm change in electronics, information processing and unconventional…

Quantum Physics · Physics 2017-02-17 J. Salmilehto , F. Deppe , M. Di Ventra , M. Sanz , E. Solano

A memristor is a nonlinear two-terminal electrical element that incorporates memory features and nanoscale properties, enabling us to design very high-density artificial neural networks. To enhance the memory property, we should use…

Dynamical Systems · Mathematics 2022-07-07 Leila Eftekhari , Mohammad M. Amirian

Memory effects are ubiquitous in nature and the class of memory circuit elements - which includes memristors, memcapacitors and meminductors - shows great potential to understand and simulate the associated fundamental physical processes.…

Mesoscale and Nanoscale Physics · Physics 2012-07-04 Yuriy V. Pershin , Massimiliano Di Ventra

Networks with memristive elements (resistors with memory) are being explored for a variety of applications ranging from unconventional computing to models of the brain. However, analytical results that highlight the role of the graph…

Disordered Systems and Neural Networks · Physics 2017-03-08 Francesco Caravelli , Fabio Lorenzo Traversa , Massimiliano Di Ventra

We discuss the physical properties of realistic memristive, memcapacitive and meminductive systems. In particular, by employing the well-known theory of response functions and microscopic derivations, we show that resistors, capacitors and…

Mesoscale and Nanoscale Physics · Physics 2013-07-04 M. Di Ventra , Y. V. Pershin

Memristors have been compared to neurons (usually specifically the synapses) since 1976 but no experimental evidence has been offered for support for this position. Here we highlight that memristors naturally form fast-response, highly…

Materials Science · Physics 2013-12-17 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky

It is noticed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence in the resistive characteristic v = f(i) of the voltage and current state…

Emerging Technologies · Computer Science 2015-01-13 Emanuel Gluskin

We define a mechanical analog to the electrical basic circuit element M = d{\phi}/dQ, namely the ideal mechanical memristance M = dp/dx; p is momentum. We then introduce a mechanical memory resistor which has M(x) independent of velocity v,…

General Physics · Physics 2015-08-18 Sascha Vongehr

This work presents the mathematical modeling and numerical investigation of a thermo-controlled Micro-Electro-Mechanical System (MEMS) obtained by coupling an HP memristor with mechanical and electrical resonators. Using the linear drift HP…

Chaotic Dynamics · Physics 2026-05-29 N. G. Koudafokê , Thierry Njougouo , Hilda A. Cerdeira , C. H. Miwadinou

Networks with memristive devices are a potential basis for the next generation of computing devices. They are also an important model system for basic science, from modeling nanoscale conductivity to providing insight into the…

Disordered Systems and Neural Networks · Physics 2025-07-01 Frank Barrows , Forrest C. Sheldon , Francesco Caravelli

In 1976, Leon Chua showed that a thermistor can be modeled as a memristive device. Starting from this statement we designed a circuit that has four circuit elements: a linear passive inductor, a linear passive capacitor, a nonlinear…

Recently, it was shown that the amoeba-like cell {\it Physarum polycephalum} when exposed to a pattern of periodic environmental changes learns and adapts its behavior in anticipation of the next stimulus to come. Here we show that such…

Cell Behavior · Quantitative Biology 2009-11-21 Yuriy V. Pershin , Steven La Fontaine , Massimiliano Di Ventra

Locally-active memristors are a class of emerging nonlinear dynamic circuit elements that hold promise for scalable yet biomimetic neuromorphic circuits. Starting from a physics-based compact model, we performed small-signal linearization…

Emerging Technologies · Computer Science 2025-05-13 Wei Yi

Memristive system models have previously been proposed to describe ionic memory resistors. However, these models neglect the mass of ions and repulsive forces between ions and are not well formulated in terms of semiconductor and ionic…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 Blaise Mouttet

We present both an overview and a perspective of recent experimental advances and proposed new approaches to performing computation using memristors. A memristor is a 2-terminal passive component with a dynamic resistance depending on an…

Emerging Technologies · Computer Science 2022-09-13 Francesco Caravelli , Juan Pablo Carbajal