Pinched Hysteresis Loop Characteristics of a Fractional-Order HP \(\mathrm{TiO_2}\) memristor

Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 762)


A memristor is a nonlinear resistor with time memory. Usually, the memory without any loss is an ideal case. Recent studies show that there is a memory loss of the classic HP \(\mathrm{TiO_2}\) linear model, which has memory effect between no memory and ideal memory (complete memory). To describe the memory property, we propose a fractional-order HP \(\mathrm{TiO_2}\) memristor model with the order \(\alpha \) between 0 and 1, and the pinched hysteresis loop characteristics are studied as the fractional-order model under periodic external excitation. Compared with the classic integer-order memristor model, numerical simulations show that the fractional-order derivative \(\alpha \) is also an important parameter effects the pinched hysteresis loop area, the memristor value and the output voltage amplitude evidently and regularly.


Fractional calculus Memory Fractional-order memristor Pinched hysteresis loop 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Institute of Advanced TechnologyNanjing University of Posts and TelecommunicationsNanjingPeople’s Republic of China
  2. 2.Hubei Province Collaborative Innovation Center for New Energy MicrogridChina Three Gorges UniversityYichangPeople’s Republic of China

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