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Related papers: Asymptotic behavior of memristive circuits

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The memristance of a memristor depends on the amount of charge flowing through it and when current stops flowing through it, it remembers the state. Thus, memristors are extremely suited for implementation of memory units. Memristors find…

Neural and Evolutionary Computing · Computer Science 2022-10-28 Udit Kumar Agarwal , Shikhar Makhija , Varun Tripathi , Kunwar Singh

Memristive associative learning has gained significant attention for its ability to mimic fundamental biological learning mechanisms while maintaining system simplicity. In this work, we introduce a high-order memristive associative…

Neural and Evolutionary Computing · Computer Science 2024-10-23 Shengbo Wang , Xuemeng Li , Jialin Ding , Weihao Ma , Ying Wang , Luigi Occhipinti , Arokia Nathan , Shuo Gao

Reservoir computing is a powerful framework for modeling dynamical systems due to its universality and computational efficiency. However, a major challenge is achieving a forecast with accurate long-time statistics, or climate, which is…

Chaotic Dynamics · Physics 2026-05-05 Akira Kawano , Ilia Soroka , Greg J. Stephens

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…

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

Volatile memristors have recently gained popularity as promising devices for neuromorphic circuits, capable of mimicking the leaky function of neurons and offering advantages over capacitor-based circuits in terms of power dissipation and…

Hardware Architecture · Computer Science 2025-07-22 Tanay Patni , Rishona Daniels , Shahar Kvatinsky

A memristor is an electrical element, which has been conjectured in 1971 to complete the lumped circuit theory. Currently, researchers use memristors emulators through diodes and other passive (or active) elements to study circuits with…

Applied Physics · Physics 2020-08-21 Leonardo Barboni

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

Memristors are non-volatile nano-resistors. Their resistance can be tuned by applied currents or voltages and set to a large number of levels between two limit values. Thanks to these properties, memristors are ideal building blocks for a…

Mesoscale and Nanoscale Physics · Physics 2016-05-26 Steven Lequeux , Joao Sampaio , Vincent Cros , Kay Yakushiji , Akio Fukushima , Rie Matsumoto , Hitoshi Kubota , Shinji Yuasa , Julie Grollier

The memristor, the recently discovered fundamental circuit element, is of great interest for neuromorphic computing, nonlinear electronics and computer memory. It is usually modelled either using Chua's equations, which lack material device…

Materials Science · Physics 2014-04-23 Ella Gale

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

The search for Lyapunov functions is a crucial task in the analysis of nonlinear systems. In this paper, we present a physics-informed neural network (PINN) approach to learning a Lyapunov function that is nearly maximal for a given stable…

Optimization and Control · Mathematics 2026-04-21 Jun Liu , Yiming Meng , Maxwell Fitzsimmons , Ruikun Zhou

Memristors have emerged as ideal components for modeling synaptic connections in neural networks due to their ability to emulate synaptic plasticity and memory effects. Discrete models of memristor-coupled neurons are crucial for…

Neurons and Cognition · Quantitative Biology 2025-10-07 Leila Eftekhari , Moein Khalighi , Saeid Abbasbandy

Memristor is the fourth fundamental passive circuit element with potential applications in development of analog memories, artificial brains (with the capacity of hardware training) and neuro-science. In most of these applications the…

Other Computer Science · Computer Science 2013-02-06 Farshad Merrikh-Bayat , Nafiseh Mirebrahimi , Farhad Bayat

Memristors offer significant advantages as in-memory computing devices due to their non-volatility, low power consumption, and history-dependent conductivity. These attributes are particularly valuable in the realm of neuromorphic circuits…

Neural and Evolutionary Computing · Computer Science 2024-07-19 Julio Souto , Guillermo Botella , Daniel García , Raúl Murillo , Alberto del Barrio

In this paper we report the occurrence of sliding bifurcations admitted by the memristive Murali-Lakshmanan-Chua circuit \cite{icha13} and the memristive driven Chua oscillator \citep{icha11}. Both of these circuits have a flux-controlled…

Adaptation and Self-Organizing Systems · Physics 2020-05-12 A. Ishaq Ahamed , M. Lakshmanan

In 2008, researchers at HP Labs published a paper in {\it Nature} reporting the realisation of a new basic circuit element that completes the missing link between charge and flux-linkage, which was postulated by Leon Chua in 1971. The HP…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 O. Kavehei , A. Iqbal , Y. S. Kim , K. Eshraghian , S. F. Al-Sarawi , D. Abbott

Memristors have attracted interest as neuromorphic computation elements because they show promise in enabling efficient hardware implementations of artificial neurons and synapses. We performed measurements on interface-type memristors to…

Emerging Technologies · Computer Science 2021-01-07 Thomas F. Tiotto , Anouk S. Goossens , Jelmer P. Borst , Tamalika Banerjee , Niels A. Taatgen

We present a computationally inexpensive yet accurate phenomenological model of memristive behavior in titanium dioxide devices by fitting experimental data. By design, the model predicts most accurately I-V relation at small non-disturbing…

Materials Science · Physics 2015-06-22 Farnood Merrikh-Bayat , Brian Hoskins , Dmitri B. Strukov

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