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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

The idea that memory behavior relies on a gradually-changing internal state has a long history in mathematical psychology. This chapter traces this line of thought from statistical learning theory in the 1950s, through distributed memory…

Neurons and Cognition · Quantitative Biology 2022-01-07 Marc W. Howard

Neuromorphic computing --- brainlike computing in hardware --- typically requires myriad CMOS spiking neurons interconnected by a dense mesh of nanoscale plastic synapses. Memristors are frequently citepd as strong synapse candidates due to…

Neural and Evolutionary Computing · Computer Science 2015-09-02 David Howard , Larry Bull , Ben De Lacy Costello

Memristive systems are generalisations of memristors, which are resistors with memory. In this paper, we present a quantum description of memristive systems. Using this model we propose and experimentally demonstrate a simple and practical…

Mesoscale and Nanoscale Physics · Physics 2017-09-11 Ying Li , Gregory W. Holloway , Simon C. Benjamin , G. Andrew D. Briggs , Jonathan Baugh , Jan A. Mol

Kinetics of biological motors such as kinesin or dynein is notably influenced by viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their…

Statistical Mechanics · Physics 2025-12-09 Mateusz Wiśniewski , Jakub Spiechowicz

At the Faraday Discussion, in the paper titled `Neuromorphic computation with spiking memristors: habituation, experimental instantiation of logic gates and a novel sequence-sensitive perceptron model' it was demonstrated that a large…

Emerging Technologies · Computer Science 2018-12-17 Ella M. Gale

Resistive switching is one of the foremost candidates for building novel types of non-volatile random access memories. Any practical implementation of such a memory cell calls for a strong miniaturization, at which point fluctuations start…

Materials Science · Physics 2017-10-11 Paul K. Radtke , Andrew L. Hazel , Arthur V. Straube , Lutz Schimansky-Geier

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Non-equilibrium molecular-scale dynamics, where fast electron transport couples with slow chemical state evolution, underpins the complex behaviors of molecular memristors, yet a general model linking these dynamics to neuromorphic…

Chemical Physics · Physics 2026-05-19 Yueqi Chen , Xuan Ji , Xi Yu

Adaptive response to a varying environment is a common feature of biological organisms. Reproducing such features in electronic systems and circuits is of great importance for a variety of applications. Here, we consider memory models…

Cell Behavior · Quantitative Biology 2013-10-29 Fabio Lorenzo Traversa , Yuriy V. Pershin , Massimiliano Di Ventra

Electrical switching has been observed in carefully designed metal-insulator-metal devices built at small geometries. These devices are also commonly known as memristors and consist of specific materials such as transition metal oxides,…

Materials Science · Physics 2013-06-10 Gaurav Gandhi , Varun Aggarwal

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. A. Slipko , Y. V. Pershin

Memristors provide a tempting solution for weighted synapse connections in neuromorphic computing due to their size and non-volatile nature. However, memristors are unreliable in the commonly used voltage-pulse-based programming approaches…

Neural and Evolutionary Computing · Computer Science 2023-09-08 Hritom Das , Rocco D. Febbo , SNB Tushar , Nishith N. Chakraborty , Maximilian Liehr , Nathaniel Cady , Garrett S. Rose

While resistors with memory, sometimes called memristive elements (such as ReRAM cells), are often studied under conditions of periodic driving, little attention has been paid to the Fourier features of their memory response (hysteresis).…

Applied Physics · Physics 2023-10-03 Y. V. Pershin , C. -C. Chien , M. Di Ventra

While the size of functional elements in memristors becomes of the orders of nano-meters or even smaller, the quantum effects in their dynamics can significantly influence their transport properties, consistent with recent experimental…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 C Huggins , S Savel'ev , A Balanov , A Zagoskin

The memristive device is one of the basic elements of novel, brain-inspired, fast, and energy-efficient information processing systems in which there is no separation between memorization and information analysis functions. Since the first…

Passing current at given threshold voltages through a metal/insulator/metal sandwich structure device may change its resistive state. Such resistive switching is unique to nanoscale devices, but its underlying physical mechanism remains…

When is keeping a memory of observations worthwhile? We use hidden Markov models to look at phase transitions that emerge when comparing state estimates in systems with discrete states and noisy observations. We infer the underlying state…

Statistical Mechanics · Physics 2017-07-05 Emma Lathouwers , John Bechhoefer

Continuous time memristor have been widely used in fields such as chaotic oscillating circuitsand neuromorphic computing systems, but research on the application of discretememristors haven't been noticed yet. In this paper, we designed a…

Applied Physics · Physics 2021-12-07 Li Jun Liu , Du Qu Wei

Using basic algebra and simple calculus, the analytical solution to the memristor model of Strukov et al published in Nature is derived. Lissajous figures of current responding to a sinusoidal voltage are presented.

Classical Physics · Physics 2026-04-06 Frank Y. Wang
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