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Initial-Condition Effects on a Two-Memristor-Based Jerk System

Author

Listed:
  • Han Bao

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China)

  • Ruoyu Ding

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China)

  • Mengjie Hua

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China)

  • Huagan Wu

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China)

  • Bei Chen

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China)

Abstract

Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which results in the coexistence of infinitely many attractors. However, most of the recently published literature focuses on the extreme multi-stability related to memristor initial conditions rather than non-memristor initial conditions. In this paper, we present a new five-dimensional (5-D) two-memristor-based jerk (TMJ) system and study complex dynamical effects induced by memristor and non-memristor initial conditions therein. Using multiple numerical methods, coupling-coefficient-reliant dynamical behaviors under different memristor initial conditions are disclosed, and the dynamical effects of the memristor initial conditions under different non-memristor initial conditions are revealed. The numerical results show that the dynamical behaviors of the 5-D TMJ system are not only dependent on the coupling coefficients, but also dependent on the memristor and non-memristor initial conditions. In addition, with the analog and digital implementations of the 5-D TMJ system, PSIM circuit simulations and microcontroller-based hardware experiments validate the numerical results.

Suggested Citation

  • Han Bao & Ruoyu Ding & Mengjie Hua & Huagan Wu & Bei Chen, 2022. "Initial-Condition Effects on a Two-Memristor-Based Jerk System," Mathematics, MDPI, vol. 10(3), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:411-:d:736329
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    References listed on IDEAS

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    1. Marius-F. Danca & Nikolay Kuznetsov, 2022. "D 3 Dihedral Logistic Map of Fractional Order," Mathematics, MDPI, vol. 10(2), pages 1-16, January.
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    Cited by:

    1. García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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