Search results for "Memristive system"

showing 2 items of 2 documents

Transient dynamics of pulse-driven memristors in the presence of a stable fixed point

2019

Abstract Some memristors are quite interesting from the point of view of dynamical systems. When driven by narrow pulses of alternating polarities, their dynamics has a stable fixed point, which may be useful for future applications. We study the transient dynamics of two types of memristors characterized by a stable fixed point using a time-averaged evolution equation. Time-averaged trajectories of the Biolek window function memristor and resistor-threshold type memristor circuit (an effective memristor) are determined analytically, and the times of relaxation to the stable fixed point are found. Our analytical results are in perfect agreement with the results of numerical simulations.

FOS: Computer and information sciencesDynamical systems theoryFOS: Physical sciencesComputer Science - Emerging TechnologiesMemristorFixed point01 natural sciencesWindow function010305 fluids & plasmaslaw.inventionMemristive systemComputer Science::Hardware ArchitectureComputer Science::Emerging TechnologieslawStablefixed pointMesoscale and Nanoscale Physics (cond-mat.mes-hall)0103 physical sciencesAttractorStatistical physics010306 general physicsPhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsAttractorMemristorResistance switching memoryCondensed Matter PhysicsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsPulse (physics)Emerging Technologies (cs.ET)Relaxation (physics)Transient (oscillation)Physica E-Low-Dimensional Systems & Nanostructures
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Importance of the Window Function Choice for the Predictive Modelling of Memristors

2021

Window functions are widely employed in memristor models to restrict the changes of the internal state variables to specified intervals. Here, we show that the actual choice of window function is of significant importance for the predictive modelling of memristors. Using a recently formulated theory of memristor attractors, we demonstrate that whether stable fixed points exist depends on the type of window function used in the model. Our main findings are formulated in terms of two memristor attractor theorems, which apply to broad classes of memristor models. As an example of our findings, we predict the existence of stable fixed points in Biolek window function memristors and their absenc…

State variableComputer science02 engineering and technologyMemristorType (model theory)Fixed pointTopologyWindow functionlaw.inventionPredictive modelsComputer Science::Hardware ArchitectureComputer Science::Emerging TechnologiesMathematical modellawAttractor0202 electrical engineering electronic engineering information engineeringEvolution (biology)Electrical and Electronic EngineeringPolarity (mutual inductance)threshold voltage020208 electrical & electronic engineeringmemristive systemsBiological system modeling020206 networking & telecommunicationsWindow functionmemristorsIntegrated circuit modelingPredictive modellingIEEE Transactions on Circuits and Systems Ii-Express Briefs
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