Analytical Solution of Circuits Employing Voltage- and Current-Excited Memristors

The analysis of complicated circuits containing nonlinear electrical elements is commonly performed via numerical algorithms of simulation programs. However, an analytical solution can be preferable to the numerical approach, particularly for the needs of basic research. This paper introduces a meth...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2012-11, Vol.59 (11), p.2619-2628
Main Authors: Biolek, Z., Biolek, D., Biolkova, V.
Format: Article
Language:English
Subjects:
Computational modeling
Constitutive relation
Differential equations
Equations
Integrated circuit modeling
Mathematical model
memductance
memristance
memristor
Memristors
Semiconductor process modeling
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The analysis of complicated circuits containing nonlinear electrical elements is commonly performed via numerical algorithms of simulation programs. However, an analytical solution can be preferable to the numerical approach, particularly for the needs of basic research. This paper introduces a methodology of the analytical solution of voltage/current response of the memristor to its excitation from ideal current/voltage source, with the memristor being characterized by the memristance-charge or memductance-flux relationships. The procedure is explained on examples of a TiO 2 memristor with linear dopant drift and of a hydraulic memristor.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2012.2189058