Title :
Analytical Solution of Circuits Employing Voltage- and Current-Excited Memristors
Author :
Zdeněk Biolek;Dalibor Biolek;Viera Biolkova
Author_Institution :
SSIER in Rož
Abstract :
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 TiO2 memristor with linear dopant drift and of a hydraulic memristor.
Keywords :
"Memristors","Differential equations","Mathematical model","Equations","Integrated circuit modeling","Semiconductor process modeling","Computational modeling"
Journal_Title :
IEEE Transactions on Circuits and Systems I: Regular Papers
DOI :
10.1109/TCSI.2012.2189058