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Main Authors: Habart, Daniel, Foulger, Stephen H., Kovacova, Kristyna, Pandey, Ambika, Panthi, Yadu R., Pfleger, Jiri, Vilcakova, Jarmila, Kostal, Lubomir
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.04934
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author Habart, Daniel
Foulger, Stephen H.
Kovacova, Kristyna
Pandey, Ambika
Panthi, Yadu R.
Pfleger, Jiri
Vilcakova, Jarmila
Kostal, Lubomir
author_facet Habart, Daniel
Foulger, Stephen H.
Kovacova, Kristyna
Pandey, Ambika
Panthi, Yadu R.
Pfleger, Jiri
Vilcakova, Jarmila
Kostal, Lubomir
contents 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, computationally efficient memristor model that bridges this gap by integrating principles from physics and computational neuroscience. The model defines a framework consisting of a standard formulation of memristive device dynamics, a functional rule mapping state variables to cumulative conductance, a volatility module inspired by the theory of linear viscoelasticity and a saturation module implementing a linear-nonlinear technique. Additionally, we develop a formulation of synaptic-like plasticity inspired by a biological spike-timing-dependent plasticity (STDP) rule, which is compatible with the general framework for memristive devices. Finally, we propose a Laplace transform-based technique to derive the precise form of the mapping from state variables to cumulative conductance, replacing ad hoc voltage-current relationships with principled construction. We quantitatively validate the complete model against a rich set of experimental data from polymeric memristors exhibiting potentiation, synaptic-like plasticity and volatile decay. Our work presents a new paradigm for memristor modeling that is both practical for large-scale simulation and rich in explanatory power, providing a principled tool for the design of next-generation neuromorphic hardware.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04934
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Modular memristor model with synaptic-like plasticity and volatile memory
Habart, Daniel
Foulger, Stephen H.
Kovacova, Kristyna
Pandey, Ambika
Panthi, Yadu R.
Pfleger, Jiri
Vilcakova, Jarmila
Kostal, Lubomir
Applied Physics
Materials Science
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, computationally efficient memristor model that bridges this gap by integrating principles from physics and computational neuroscience. The model defines a framework consisting of a standard formulation of memristive device dynamics, a functional rule mapping state variables to cumulative conductance, a volatility module inspired by the theory of linear viscoelasticity and a saturation module implementing a linear-nonlinear technique. Additionally, we develop a formulation of synaptic-like plasticity inspired by a biological spike-timing-dependent plasticity (STDP) rule, which is compatible with the general framework for memristive devices. Finally, we propose a Laplace transform-based technique to derive the precise form of the mapping from state variables to cumulative conductance, replacing ad hoc voltage-current relationships with principled construction. We quantitatively validate the complete model against a rich set of experimental data from polymeric memristors exhibiting potentiation, synaptic-like plasticity and volatile decay. Our work presents a new paradigm for memristor modeling that is both practical for large-scale simulation and rich in explanatory power, providing a principled tool for the design of next-generation neuromorphic hardware.
title Modular memristor model with synaptic-like plasticity and volatile memory
topic Applied Physics
Materials Science
url https://arxiv.org/abs/2603.04934