Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-05-13
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 3 figures
Scientific paper
We give analytical solutions to the titanium dioxide memristor with arbitary order of window functions, which assumes a nonlinear ionic drift model. As the achieved solution, the characteristic curve of state is demonstrated to be a useful tool for determining the operation point, waveform and saturation level. By using this characterizing tool, it is revealed that the same input signal can output completely different u-i orbital dynamics under different initial conditions, which is the uniqueness of memristors. The approach can be regarded as an analogy to using the characteristic curve for the BJT or MOS transisitors. Based on this model, we further propose a class of analytically solvable class of memristive systems that conform to Abel Differential Equations. The equations of state (EOS) of the titanium dioxide memristor based on both linear and nonlinear ionic drift models are typical integrable examples, which can be categorized into this Abel memristor class. This large family of Abel memristive systems offers a frame for obtaining and analyzing the solutions in the closed form, which facilitate their characterization at a more deterministic level.
Cai Weiran
Ellinger Frank
Schmidt Torsten
Tetzlaff Ronald
No associations
LandOfFree
Abel Dynamics of Titanium Dioxide Memristor Based on Nonlinear Ionic Drift Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Abel Dynamics of Titanium Dioxide Memristor Based on Nonlinear Ionic Drift Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abel Dynamics of Titanium Dioxide Memristor Based on Nonlinear Ionic Drift Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27027