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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

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention in neuromorphic computing since they can be used as a tool…

Optimization and Control · Mathematics 2024-09-24 Marieke Heidema , Henk van Waarde , Bart Besselink

We extend the notion of memristive systems to capacitive and inductive elements, namely capacitors and inductors whose properties depend on the state and history of the system. All these elements show pinched hysteretic loops in the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Massimiliano Di Ventra , Yuriy V. Pershin , Leon O. Chua

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention in neuromorphic computing since they can be used to…

Optimization and Control · Mathematics 2025-07-22 H. M. Heidema , H. J. van Waarde , B. Besselink

It is observed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence of the voltage and current state variables, associated by their electrodynamics…

Emerging Technologies · Computer Science 2016-02-11 Emanuel Gluskin

Memory effects are ubiquitous in nature and are particularly relevant at the nanoscale where the dynamical properties of electrons and ions strongly depend on the history of the system, at least within certain time scales. We review here…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Yuriy V. Pershin , Massimiliano Di Ventra

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

Meminductors and memcapacitors do not allow a Lagrangian formulation in the classical sense since these elements are nonconservative in nature and the associated energies are not state functions. To circumvent this problem, a different…

Dynamical Systems · Mathematics 2015-03-19 Dimitri Jeltsema

Because the local concentration of vacancies in any material is bounded, their motion must be accompanied by nonlinear effects. Here we look for such effects in a simple model for electric field driven vacancy motion in memristors, solving…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Irina V. Boylo , Konstantin L. Metlov

In this paper, we show that the dynamics of a wide variety of nonlinear systems such as engineering, physical, chemical, biological, and ecological systems, can be simulated or modeled by the dynamics of memristor circuits. It has the…

Chaotic Dynamics · Physics 2019-02-22 Makoto Itoh

We suggest electronic circuits with memristors (resistors with memory) that operate as memcapacitors (capacitors with memory) and meminductors (inductors with memory). Using a memristor emulator, the suggested circuits have been built and…

Instrumentation and Detectors · Physics 2014-11-20 Yuriy V. Pershin , Massimiliano Di Ventra

In this paper we revisit the memristor concept within circuit theory. We start from the definition of the basic circuit elements, then we introduce the original formulation of the memristor concept and summarize some of the controversies on…

Systems and Control · Electrical Eng. & Systems 2021-02-24 Bernardo Tellini , Mauro Bologna , Kristopher J. Chandia , Massimo Macucci

Memristors are continuously tunable resistors that emulate synapses. Conceptualized in the 1970s, they traditionally operate by voltage-induced displacements of matter, but the mechanism remains controversial. Purely electronic memristors…

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

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

Recently, in addition to the well-known resistor, capacitor and inductor, a fourth passive circuit element, named memristor, has been identified following theoretical predictions. The model example used in such case consisted in a nanoscale…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Yu. V. Pershin , M. Di Ventra

Once referred to as the missing circuit component, memristor has come long way across to be recognized and taken as important to future circuit designs. The memristor due to its ability to memorize the state, switch between different…

Emerging Technologies · Computer Science 2016-12-07 Alex Pappachen James

The prediction made by L. O. Chua 45+ years ago (see: IEEE Trans. Circuit Theory (1971) 18:507-519 and also: Proc. IEEE (2012) 100:1920-1927) about the existence of a passive circuit element (called memristor) that links the charge and flux…

Emerging Technologies · Computer Science 2017-03-14 Wieslaw Marszalek , Zdzislaw Trzaska

Memristors are passive elements that allow us to store information using a single element per bit. However, this is not the only utility of the memristor. Considering the physical chemical structure of the element used, the memristor can…

Emerging Technologies · Computer Science 2017-05-10 David Alejandro Trejo Pizzo

The interest in memristors has risen due to their possible application both as memory units and as computational devices in combination with CMOS. This is in part due to their nonlinear dynamics, and a strong dependence on the circuit…

Emerging Technologies · Computer Science 2022-09-21 Francesco Caravelli
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