Antimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit

Christos K. Volos (Corresponding Author), Akif Akgül , Viet-Thanh Pham , Murilo Da Silva Baptista

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Abstract

In this work a memristive circuit consisting of a first-order memristive diode bridge is presented. The proposed circuit is the simplest memristive circuit containing the specific circuitry realization of the memristor to be so far presented in the literature. Characterization of the proposed circuit confirms its complex dynamic behavior, which is studied by using well-known numerical tools of nonlinear theory, such as bifurcation diagram, Lyapunov exponents and phase portraits. Various dynamical phenomena concerning chaos theory, such as antimonotonicity, which is observed for the first time in this type of memristive circuits, crisis phenomenon and multiple attractors, have been observed. An electronic circuit to reproduce the proposed memristive circuit was designed, and experiments were conducted to verify the results obtained from the numerical simulations.



Original languageEnglish
Article number1850026
Pages (from-to)1-14
Number of pages14
JournalJournal of Circuits, Systems, and Computers
Volume27
Issue number2
Early online date30 Jun 2017
DOIs
Publication statusPublished - Feb 2018

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Keywords

  • Memristive circuit
  • chaos
  • antimonotonicity
  • interior crisis
  • multiple attractors
  • Lyapunov exponents
  • bifurcation diagram
  • phase portrait

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