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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

The recent design of a nanoscale device with a memristive characteristic has had a great impact in nonlinear circuit theory. Such a device, whose existence was predicted by Leon Chua in 1971, is governed by a charge-dependent…

Dynamical Systems · Mathematics 2010-08-17 Ricardo Riaza

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

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

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

Compact models of memristors are essential for simulating large-scale neuromorphic systems, yet they often do not include description of complex dynamics like volatile relaxation and synaptic plasticity. We introduce a modular,…

Brain-inspired non-Boolean computing offers intrinsic error tolerance and parallelism, but its practical deployment is limited by the lack of compact, energy-efficient spiking hardware compatible with large-scale integration. Mott…

This paper presents the dynamics of a practical equivalent of a smooth memristor oscillator derived from Chua's circuit. This approach replaces the conventional Chua's diode by a flux controlled memristor with negative conductance. The…

Chaotic Dynamics · Physics 2014-08-22 R. Jothimurugan , K. Thamilmaran , Ronilson Rocha

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

Resistive random-access memories, also known as memristors, whose resistance can be modulated by the electrically driven formation and disruption of conductive filaments within an insulator, are promising candidates for neuromorphic…

Brain dynamics can exhibit narrow-band nonlinear oscillations and multistability. For a subset of disorders of consciousness and motor control, we hypothesize that some symptoms originate from the inability to spontaneously transition from…

Neurons and Cognition · Quantitative Biology 2020-06-24 Ian D. Jordan , Il Memming Park

Beyond-Moore computing technologies are expected to provide a sustainable alternative to the von Neumann approach not only due to their down-scaling potential but also via exploiting device-level functional complexity at the lowest possible…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 S. W. Schmid , L. Pósa , T. N. Török , B. Sánta , Z. Pollner , G. Molnár , Y. Horst , J. Volk , J. Leuthold , A. Halbritter , M. Csontos

In this paper, we investigate few memristor-based analog circuits namely the phase shift oscillator, integrator, and differentiator which have been explored numerously using the traditional lumped components. We use LTspice-IV platform for…

Emerging Technologies · Computer Science 2017-03-31 G. S. Patil , S. R. Ghatage , P. K. Gaikwad , R. K. Kamat , T. D. Dongale

Memristive devices are commonly benchmarked by the multi-level programmability of their resistance states. Neural networks utilizing memristor crossbar arrays as synaptic layers largely rely on this feature. However, the dynamical…

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, a memristive Murali-Lakshmanan-Chua (MLC) circuit is built by replacing the nonlinear element of an ordinary MLC circuit, namely the Chua's diode, with a three segment piecewise linear active flux controlled memristor. The…

Chaotic Dynamics · Physics 2015-06-15 A. Ishaq Ahamed , M. Lakshmanan

Vanadium dioxide is currently considered as one of the most promising metarials for oxide elcteronics. Both planar and sandwich thin-film MOM devices based on VO2 exhibit electrical switching with an S-shaped I-V characteristic, and this…

Memristors have been positioned at the forefront of the purposes for carrying out neuromorphic computation. Their tuneable conductivity properties enable the imitation of synaptic behaviour. Multipore nanofluidic memristors have shown their…

Applied Physics · Physics 2024-09-17 Agustin Bou , Patricio Ramirez , Juan Bisquert

Relaxor ferroelectrics have been a focus of intense attention due to their anomalous dielectric characteristics, diffuse phase transitions, and strong piezoelectricity. Understanding the structure and dynamics of relaxors has been one of…

Materials Science · Physics 2013-12-09 Hiroyuki Takenaka , Ilya Grinberg , Andrew M. Rappe

Memristors are nonlinear passive circuit elements which can be thought as time varying resistances. When connected in a complex circuit these exhibit very exotic behavior, typical of disordered systems, such as a universal slow relaxation…

Adaptation and Self-Organizing Systems · Physics 2017-12-22 Francesco Caravelli
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