Circuits, Systems, and Signal Processing

, Volume 38, Issue 4, pp 1452–1465 | Cite as

A Flux-Controlled Logarithmic Memristor Model and Emulator

  • Xudong Xie
  • Liangji Zou
  • Shiping WenEmail author
  • Zhigang Zeng
  • Tingwen Huang


The HP TiO\(_2\) model, as it is well known, is the most widely used physical model of memristor. However, deriving a mathematical model that fully characterizes the HP TiO\(_2\) memristor is a challenging task. As a result, simplified models such as the nonlinear quadratic model and the cubic memristor model are utilized in theoretic quantitative analysis of memristor circuits. These models result in unsatisfactory performance for many applications. To mitigate this problem, this paper proposes a new nonlinear logarithmic model to characterize memristor. Additionally, a memristor emulator circuit is developed. Finally, the relationships among the HP TiO\(_2\) memristor, the logarithmic model, and the emulator are thoroughly discussed.


Flux-controlled memristor Logarithmic model Memristor emulator 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Xudong Xie
    • 1
    • 2
  • Liangji Zou
    • 1
    • 2
  • Shiping Wen
    • 1
    • 2
    Email author
  • Zhigang Zeng
    • 1
    • 2
  • Tingwen Huang
    • 3
  1. 1.Department of Control Science and EngineeringHuazhong University of Science and TechnologyWuhanChina
  2. 2.Key Laboratory of Image Processing and Intelligent Control of Education Ministry of ChinaWuhanChina
  3. 3.Science ProgramTexas A&M University at QatarDohaQatar

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