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The design of balanced ternary digital logic circuits based on memristors and conventional CMOS devices is proposed. First, balanced ternary minimum gate TMIN, maximum gate TMAX and ternary inverters are systematically designed and verified…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Xiao-Yuan Wang , Jia-Wei Zhou , Chuan-Tao Dong , Xin-Hui Chen , Sanjoy Kumar Nandi , Robert G. Elliman , Sung-Mo Kang , Herbert Ho-Ching Iu

A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Pedro Umpierrez , Victor Arana , Sergio Sancho

Reservoir engineering is a powerful technique to autonomously stabilize a quantum state. Traditional schemes involving multi-body states typically function for discrete entangled states. In this work, we enhance the stabilization capability…

Quantum Physics · Physics 2023-12-19 Ziqian Li , Tanay Roy , Yao Lu , Eliot Kapit , David Schuster

We study numerically the number of single-spin-flip stable states in the T=0 Random Field Ising Model (RFIM) on random regular graphs of connectivity $z=2$ and $z=4$ and on the cubic lattice. The annealed and quenched complexities (i.e. the…

Disordered Systems and Neural Networks · Physics 2007-10-08 F. J. Perez-Reche , M. L. Rosinberg , G. Tarjus

This work presents the mathematical modeling and numerical investigation of a thermo-controlled Micro-Electro-Mechanical System (MEMS) obtained by coupling an HP memristor with mechanical and electrical resonators. Using the linear drift HP…

Chaotic Dynamics · Physics 2026-05-29 N. G. Koudafokê , Thierry Njougouo , Hilda A. Cerdeira , C. H. Miwadinou

Real world systems comprised of coupled oscillators have the ability to exhibit spontaneous synchronization and other complex behaviors. The interplay between the underlying network topology and the emergent dynamics remains a rich area of…

Pattern Formation and Solitons · Physics 2024-06-19 Monica Goebel , Matthew S Mizuhara , Sofia Stepanoff

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

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

The memory resistor abbreviated memristor was a harmless postulate in 1971. In the decade since 2008, a device claiming to be the missing memristor is on the prowl, seeking recognition as a fundamental circuit element, sometimes wanting…

Emerging Technologies · Computer Science 2018-08-21 Isaac Abraham

It is noticed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence in the resistive characteristic v = f(i) of the voltage and current state…

Emerging Technologies · Computer Science 2015-01-13 Emanuel Gluskin

An analog computer makes use of continuously changeable quantities of a system, such as its electrical, mechanical, or hydraulic properties, to solve a given problem. While these devices are usually computationally more powerful than their…

Emerging Technologies · Computer Science 2019-10-09 G. Alvarado Barrios , J. C. Retamal , E. Solano , M. Sanz

Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid…

Numerical Analysis · Mathematics 2017-10-23 Howard C. Elman , David J. Silvester

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention in neuromorphic computing since they can be used to…

Optimization and Control · Mathematics 2025-07-22 H. M. Heidema , H. J. van Waarde , B. Besselink

Memristor devices are crucial for developing neuromorphic computers and next-generation memory technologies. In this work, we provide a comprehensive modelling tool for simulating static DC reading operations of memristor crossbar arrays…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Yasir J Noori , C H de Groot

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

The rich non-linear dynamics of the coupled oscillators (under second harmonic injection) can be leveraged to solve computationally hard problems in combinatorial optimization such as finding the ground state of the Ising Hamiltonian. While…

Optimization and Control · Mathematics 2023-10-17 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

We study the non relativistic motions of a charged particle in the electromagnetic field generated by two parallel electrically neutral vertical wires carrying time depends currents. Under quantitative conditions on the currents we prove…

Chaotic Dynamics · Physics 2025-01-28 Stefano Marò , Francisco Prieto-Castrillo

In recent times, neural networks have been gaining increasing importance in fields such as pattern recognition and computer vision. However, their usage entails significant energy and hardware costs, limiting the domains in which this…

Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has…

Analysis of PDEs · Mathematics 2024-04-09 Heiko Gimperlein , Runan He , Andrew A. Lacey

State space subspace algorithms for input-output systems have been widely applied but also have a reasonably well-developedasymptotic theory dealing with consistency. However, guaranteeing the stability of the estimated system matrix is a…

Systems and Control · Electrical Eng. & Systems 2024-08-19 Xinhui Rong , Victor Solo