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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 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

In this article, we first point out a missing active-device while providing its theoretical definition and impact on electronics. This type of active devices has an inverse functionality of transistors, and is suggested to be called…

Applied Physics · Physics 2018-09-25 Sungsik Lee

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

Nonlinearity is a central feature in demanding computing applications that aim to deal with tasks such as optimization or classification. Furthermore, the consensus is that nonlinearity should not be only exploited at the algorithm level,…

Emerging Technologies · Computer Science 2023-08-21 Manuel Escudero , Sabina Spiga , Mauro di Marco , Mauro Forti , Giacomo Innocenti , Alberto Tesi , Fernando Corinto , Stefano Brivio

A circuit-field problem is considered. A resistor conducting a constant current is argued to be associated with electromagnetic energy accumulated in the surrounded space, though contrary to the case of an inductor or a capacitor, this…

General Physics · Physics 2010-06-23 Emanuel Gluskin

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

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

It is shown that virtually all nonlinear and/or time-varying loads that generate harmonic current distortion can be characterized in terms of so-called higher-order circuit elements. The most relevant higher-order elements exploited in this…

Signal Processing · Electrical Eng. & Systems 2019-06-05 Dimitri Jeltsema

Redox-based nanoionic resistive memory cells (ReRAMs) are one of the most promising emerging nano-devices for future information technology with applications for memory, logic and neuromorphic computing. Recently, the serendipitous…

Implication logic gates that are based on volatile memristors are demonstrated experimentally with the use of relay-based volatile memristor emulators of an original design. The fabricated logic circuit involves two volatile memristors and…

Emerging Technologies · Computer Science 2019-09-18 Y. V. Pershin

The structural analysis, i.e., the investigation of the differential-algebraic nature, of circuits containing simple elements, i.e., resistances, inductances and capacitances is well established. However, nowadays circuits contain all sorts…

Numerical Analysis · Mathematics 2019-12-12 Idoia Cortes Garcia , Sebastian Schöps , Christian Strohm , Caren Tischendorf

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

Memristor, one of the fundamental circuit elements, has promising applications in non-volatile memory and storage technology as it can theoretically achieve infinite states. Information can be stored independently in these states and…

Emerging Technologies · Computer Science 2019-05-14 Santosh Parajuli , Ram Kaji Budhathoki , Hyongsuk Kim

We experimentally demonstrate a proof-of-principle implementation of an almost ideal memristor - a two-terminal circuit element whose resistance is approximately proportional to the integral of the input signal over time. The demonstrated…

Materials Science · Physics 2022-07-06 Sergei Ivanov , Sergei Urazhdin

In his paper "If it's pinched it's a memristor" [Semicond. Sci. Technol. 29, 104001 (2014)] L. Chua claims to extend the notion of memristor to all two-terminal resistive devices that show a hysteresis loop pinched at the origin. He also…

Emerging Technologies · Computer Science 2019-09-18 Y. V. Pershin , M. Di Ventra

In almost all of the currently working circuits, especially in analog circuits implementing signal processing applications, basic arithmetic operations such as multiplication, addition, subtraction and division are performed on values which…

Hardware Architecture · Computer Science 2010-09-03 Farnood Merrikh-Bayat , Saeed Bagheri Shouraki

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

We suggest an approach to use memristors (resistors with memory) in programmable analog circuits. Our idea consists in a circuit design in which low voltages are applied to memristors during their operation as analog circuit elements and…

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

We derive the general circuit equations and system models directly from four Maxwell's equations and develop the electric-charge-based and magnetic-flux-based analysis methodologies to unify the analyses for both phase-independent circuits…

Applied Physics · Physics 2025-10-13 Yongliang Wang