Fractional-order Memristor Model with Nonlinear Drift Function

doi:10.16182/j.issn1004731x.joss.201808009

Abstract

Abstract: A memristor is a nonlinear resistor with memory. It is regarded as the fourth basic circuit elements. The fractional order model of memristor is an extension of integer order model for memristor. Some researchers have confirmed the existence of fractional order model for memristor, and the response characteristic of the fractional order model excited by different types of signals is analyzed. Based on the analysis of some existing integer order and fractional order models for memristor, a novel fractional order memristor model with nonlinear drift function is proposed, and the response characteristics of fractional order model for memristor with nonlinear drift function excited by step signal, sine and non-sinusoidal periodic signals are analyzed. The experiment results show that the proposed model can simulate fractional order memristor characteristic well. The influence of fractional order and control parameters on the characteristic of memristor is also analyzed and summarized. These results have a certain reference value for some memristor applications in electrical field.

Key words: memristor, fractional-order, model, characteristic

CLC Number:

TN710

Gan Zhaohui, Zhang Shiying, Wu Yuxin. Fractional-order Memristor Model with Nonlinear Drift Function[J]. Journal of System Simulation, 2018, 30(8): 2884-2891.

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