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Modeling and hardware implementation of universal interface-based floating fractional-order mem-elements.

Ya Li1, Lijun Xie1, Ciyan Zheng2

  • 1School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China.

Chaos (Woodbury, N.Y.)
|February 1, 2023
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Summary
This summary is machine-generated.

Researchers developed a universal interface for fractional-order mem-element emulators, enabling the creation of memristors, memcapacitors, and meminductors. This breakthrough simplifies the construction and promotes future research in fractional calculus and memory systems.

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Area of Science:

  • Electrical Engineering
  • Nonlinear Dynamics
  • Fractional Calculus

Background:

  • Fractional-order systems offer advanced modeling capabilities for complex real-world phenomena.
  • Research in fractional-order mem-elements is underdeveloped compared to integer-order counterparts.

Purpose of the Study:

  • To introduce a novel universal interface for constructing fractional-order mem-element emulators.
  • To facilitate the study of fractional-order mem-element characteristics and applications.

Main Methods:

  • A universal circuit topology is proposed for implementing fractional-order memristor, memcapacitor, and meminductor emulators.
  • Circuit simulations using PSPICE and hardware experiments on printed circuit boards were conducted.
  • MATLAB simulations explored the relationship between fractional-order parameters and impedance values.

Main Results:

  • The proposed interface successfully emulates three types of fractional-order mem-elements using a single circuit topology.
  • Experimental validation confirmed the dynamical behaviors and effectiveness of the emulators.
  • The study established a dynamic relationship between fractional-order parameters and impedance.

Conclusions:

  • The developed universal interface simplifies the construction of fractional-order mem-element emulators.
  • The emulators utilize fewer active and passive components, reducing cost and promoting further research.