Window functions and sigmoidal behaviour of memristive systems
Abstract
A common approach to model memristive systems is to include empirical window functions to describe edge effects and non-linearities 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.
Cite
@article{arxiv.1605.02021,
title = {Window functions and sigmoidal behaviour of memristive systems},
author = {Panayiotis S. Georgiou and Sophia N. Yaliraki and Emmanuel M. Drakakis and Mauricio Barahona},
journal= {arXiv preprint arXiv:1605.02021},
year = {2016}
}
Comments
12 pages, 5 figures, 1 table. To appear in International Journal of Circuit Theory and Applications