Abstract

SUMMARYMemristor is introduced as the fourth basic circuit element. In this paper, we show that piecewise linear function can be used to model memristor. Piecewise linear function is used as a window function to model the memristor device. The piecewise linear window function is linear at each subregion of the domain. Because of this good character, explicit relation between the thickness of the doped region and the charge can be delivered, together with the explicit memristance expression. Models using a general nonlinear window function may not have these explicit results. The piecewise linear window function is also more flexible than the existing window functions. Piecewise linear function can also be used to model the more general memristive systems. Copyright © 2014 John Wiley & Sons, Ltd.

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