Window functions and sigmoidal behaviour of memristive systems

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Title: Window functions and sigmoidal behaviour of memristive systems
Authors: Georgiou, PS
Yaliraki, SN
Drakakis, EM
Barahona, M
Item Type: Journal Article
Abstract: Summary: A common approach to model memristive systems is to include empirical window functions to describe edge effects and nonlinearities in the change of the memristance. We demonstrate that under quite general conditions, each window function can be associated with a sigmoidal curve relating the normalised time-dependent memristance to the time integral of the input. Conversely, this explicit relation allows us to derive window functions suitable for the mesoscopic modelling of memristive systems from a variety of well-known sigmoidals. Such sigmoidal curves are defined in terms of measured variables and can thus be extracted from input and output signals of a device and then transformed to its corresponding window. We also introduce a new generalised window function that allows the flexible modelling of asymmetric edge effects in a simple manner.
Issue Date: 3-Feb-2016
Date of Acceptance: 20-Nov-2015
URI: http://hdl.handle.net/10044/1/32098
DOI: https://dx.doi.org/10.1002/cta.2186
ISSN: 0098-9886
Publisher: John Wiley & Sons Ltd
Start Page: 1685
End Page: 1696
Journal / Book Title: International Journal of Circuit Theory and Applications
Volume: 44
Issue: 9
Copyright Statement: © 2016 John Wiley & Sons, Ltd. This is the accepted version of the following article which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/cta.2186/abstract
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/I017267/1
EP/J018201/1
BMPF_P49668
Keywords: Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
memristor
memristive system
window
sigmoidal
modelling
ELECTRICAL CIRCUITS
MODELS
DEVICES
DRIFT
cond-mat.mes-hall
Electrical & Electronic Engineering
0906 Electrical And Electronic Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Bioengineering
Mathematics
Chemistry
Biological and Biophysical Chemistry
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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