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Related Experiment Videos

Multistability in a physical memristor-based modified Chua's circuit.

Mei Guo1, Wenyan Yang1, Youbao Xue1

  • 1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590 Shandong, People's Republic of China.

Chaos (Woodbury, N.Y.)
|May 3, 2019
PubMed
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This study introduces a strontium barium titanate memristor-based Chua's circuit, revealing complex dynamics like chaos and multistability. The findings aid in designing advanced memristor circuits for practical applications.

Area of Science:

  • Nonlinear dynamics
  • Solid-state physics
  • Electrical engineering

Background:

  • Memristors offer unique memory and switching properties crucial for advanced electronic circuits.
  • Chua's circuit is a fundamental nonlinear circuit model exhibiting complex dynamics, including chaos.
  • Integrating memristors into modified Chua's circuits can lead to novel functionalities.

Purpose of the Study:

  • To propose and analyze a novel memristor-based modified Chua's circuit using a physical strontium barium titanate memristor.
  • To investigate the stability and diverse dynamic behaviors of the proposed circuit.
  • To explore the phenomenon of multistability and its dependence on initial states and circuit parameters.

Main Methods:

  • Theoretical analysis of circuit stability.

Related Experiment Videos

  • Numerical simulations to explore dynamic behaviors.
  • Analysis of Lyapunov exponents spectra, bifurcation diagrams, phase diagrams, and Poincaré maps.

    • Main Results:

    • The strontium barium titanate memristor-based modified Chua's circuit exhibits stable points, periodic cycles, chaos, and transient chaos.
    • The system demonstrates multistability, with coexisting periodic and chaotic attractors.
    • Dynamic behaviors are shown to be dependent on initial states and circuit parameters.

    Conclusions:

    • The proposed memristor-based modified Chua's circuit displays rich and complex nonlinear dynamics.
    • Multistability is a key characteristic, offering potential for complex information processing.
    • This research provides a foundation for designing and analyzing future memristor-based circuits for practical applications.