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Related papers: Memristor Circuits for Simulating Nonlinear Dynami…

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We present molecular-dynamic simulations of memory resistors (memristors) including the crystal field effects on mobile ionic species such as oxygen vacancies appearing during operation of the device. Vacancy distributions show different…

Materials Science · Physics 2015-05-28 S. E. Savel'ev , A. S. Alexandrov , A. M. Bratkovsky , R. Stanley Williams

Coupling of chaotic oscillators has evidenced conditions where synchronization is possible, therefore a nonlinear system can be driven to a particular state through input from a similar oscillator. Here we expand this concept of control of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Robson Vieira , Weliton S. Martins , Sergio Barreiro , Rafael A. de Oliveira , Martine Chevrollier , Marcos Oriá

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

Nonlinear effects are the root of interesting phenomena such as masers and lasers, and play a significant role in science and engineering. In spin systems, nonlinear spin dynamics is crucial for the prediction of complex dynamical behavior…

Quantum Gases · Physics 2024-10-23 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

We study the nonlinear behaviors of mass-spring systems damped by dry friction using simulation by a nonlinear LC circuit damped by anti-parallel diodes. We show that the differential equation for the electric oscillator is equivalent to…

Classical Physics · Physics 2019-02-20 Qian Xu , Wenkai Fan , Sihui Wang , Hongjian Jiang

Memristors are emerging as key electronic components that retain resistance states without power. Their non-volatile nature and ability to mimic synaptic behavior make them ideal for next-generation memory technologies and neuromorphic…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Tongxin Chen , Yinyu Nie , Yafei Hao , Shengchun Shen , Jiajun Pan , Xiaoguang Li , Yuan Lu

We present a general formalism for the construction of thermodynamically consistent stochastic models of non-linear electronic circuits. The devices constituting the circuit can have arbitrary I-V curves and may include tunnel junctions,…

Statistical Mechanics · Physics 2021-09-29 Nahuel Freitas , Jean-Charles Delvenne , Massimiliano Esposito

It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic…

Chaotic Dynamics · Physics 2017-08-02 Ying-Cheng Lai , Celso Grebogi

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

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

Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple, paradigmatic case of equal-strength, all-to-all sine-coupling of phase oscillators subject to a…

Chaotic Dynamics · Physics 2009-11-13 T. M. Antonsen , R. T. Faghih , M. Girvan , E. Ott , J. Platig

We introduce an approach based on the Chapman-Kolmogorov equation to model heterogeneous stochastic circuits, namely, the circuits combining binary or multi-state stochastic memristive devices and continuum reactive components (capacitors…

Emerging Technologies · Computer Science 2023-10-03 V. A. Slipko , Y. V. Pershin

The dynamics of memristive device in response to neuron-like signals and coupling electronic neurons via memristive device has been investigated theoretically and experimentally. The simplest experimental system consists of electronic…

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Chaotic systems are always deterministic and may be…

Chaotic Dynamics · Physics 2016-11-16 Geoff Boeing

This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of…

Computational Engineering, Finance, and Science · Computer Science 2021-05-31 Americo Cunha , Christian Soize , Rubens Sampaio

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

The parameterization method (PM) provides a broad theoretical and numerical foundation for computing invariant manifolds of dynamical systems. PM implements a change of variables in order to represent trajectories of a system of ordinary…

Dynamical Systems · Mathematics 2024-04-16 Alberto Pérez-Cervera , Benjamin Lindner , Peter J. Thomas

Systems of atoms or molecules can possess nonzero total spins that can be employed in spintronics, for instance for creating memory devices, which requires to be able to efficiently regulate spin directions. This article presents some…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 V. I. Yukalov , E. P. Yukalova

Memristors are continuously tunable resistors that emulate synapses. Conceptualized in the 1970s, they traditionally operate by voltage-induced displacements of matter, but the mechanism remains controversial. Purely electronic memristors…