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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

A dynamic systems model has previously been proposed for mem-resistors based on a driven damped harmonic oscillator differential equation describing electron and ionic depletion widths in a thin semiconductor film. This paper derives…

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

We present a phenomenological theory of filamentary resistive random access memory (RRAM) describing the commonly observed features of their current-voltage characteristics. Our approach follows the approach of thermodynamic theory…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Victor Karpov , Dipesh Niraula , Ilya Karpov , Roza Kotlyar

Memristors as emergent nano-electronic devices have been successfully fabricated and used in non-conventional and neuromorphic computing systems in the last years. Several behavioral or physical based models have been developed to explain…

The morphological evolution of the conducting filament (CF) predominantly controls the electric response of the resistive random access memory (ReRAM) devices. However, the parameters -- in terms of the material and the processing -- which…

Applied Physics · Physics 2024-06-19 Arijit Roy , Min-Gyu Cho , Pil-Ryung Cha

Memristive systems were proposed in 1976 by Leon Chua and Sung Mo Kang as a model for 2-terminal passive nonlinear dynamical systems which exhibit memory effects. Such systems were originally shown to be relevant to the modeling of action…

Mesoscale and Nanoscale Physics · Physics 2010-12-24 Blaise Mouttet

The ever-increasing amount of data from ubiquitous smart devices fosters data-centric and cognitive algorithms. Traditional digital computer systems have separate logic and memory units, resulting in a huge delay and energy cost for…

Applied Physics · Physics 2025-03-17 Qiming Shao , Zhongrui Wang , Yan Zhou , Shunsuke Fukami , Damien Querlioz , Leon O. Chua

Highly accurate and predictive models of resistive switching devices are needed to enable future memory and logic design. Widely used is the memristive modeling approach considering resistive switches as dynamical systems. Here we introduce…

Emerging Technologies · Computer Science 2015-03-02 E. Linn , A. Siemon , R. Waser , S. Menzel

It has been erroneously asserted by the circuit theorist Leon Chua that all zero-crossing pinched hysteresis curves define memristors. This claim has been used by Stan Williams of HPLabs to assert that all forms of RRAM and phase change…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Blaise Mouttet

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

Resistance-change random access memory (RRAM) devices are nanoscale metal-insulator-metal structures that can store information in their resistance states, namely the high resistance (HRS) and low resistance (LRS) states. They are a…

Emerging Technologies · Computer Science 2022-06-14 Yuvraj Misra , Tarun Kumar Agarwal

The memristor is the fundamental non-linear circuit element, with uses in computing and computer memory. ReRAM (Resistive Random Access Memory) is a resistive switching memory proposed as a non-volatile memory. In this review we shall…

Materials Science · Physics 2016-11-15 Ella Gale

In 1971 the memristor was originally postulated as a new non-linear circuit element relating the time integrals of current and voltage. More recently researchers at HPLabs have linked the theoretical memristor concept to resistance…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 Blaise Mouttet

The massive parallel approach of neuromorphic circuits leads to effective methods for solving complex problems. It has turned out that resistive switching devices with a continuous resistance range are potential candidates for such…

This paper studies nonstationary open dynamical systems from the statistical viewpoint. By open, we mean that trajectories may escape through holes in the phase space. By nonstationary, we mean that the dynamical model itself (as well as…

Dynamical Systems · Mathematics 2020-05-19 Brett Geiger , William Ott

In this paper, we build a general modelling framework for memristors, suitable for the simulation of event-based systems such as hardware spiking neural networks, and more generally, neuromorphic computing systems composed of three…

Emerging Technologies · Computer Science 2025-12-02 Waleed El-Geresy , Christos Papavassiliou , Deniz Gündüz

Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic perspective of neuronal activity, these models are…

Neurons and Cognition · Quantitative Biology 2025-09-03 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri

In this paper, we investigate the parameter identification problem in dynamical systems through a deep learning approach. Focusing mainly on second-order, linear time-invariant dynamical systems, the topic of damping factor identification…

Machine Learning · Computer Science 2021-07-07 Erdem Akagündüz , Oguzhan Cifdaloz

Resistive switching devices emerged a huge amount of interest as promising candidates for non-volatile memories as well as artificial synapses due to their memristive behavior. The main physical and chemical phenomena which define their…

Materials Science · Physics 2018-08-01 Tobias Gergs , Sven Dirkmann , Thomas Mussenbrock

This paper studies a dynamical system that models the free recall dynamics of working memory. This model is a modular neural network with n modules, named hypercolumns, and each module consists of m minicolumns. Under mild conditions on the…

Systems and Control · Electrical Eng. & Systems 2022-09-23 Tianhao Li , Zhixin Liu , Lizheng Liu , Xiaoming Hu
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