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Memristor-Based Lozi Map with Hidden Hyperchaos

Author

Listed:
  • Jiang Wang

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

  • Yang Gu

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

  • Kang Rong

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

  • Quan Xu

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

  • Xi Zhang

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

Abstract

Recently, the application of memristors to improve chaos complexity in discrete chaotic systems has been paid more and more attention to. To enrich the application examples of discrete memristor-based chaotic systems, this article proposes a new three-dimensional (3-D) memristor-based Lozi map by introducing a discrete memristor into the original two-dimensional (2-D) Lozi map. The proposed map has no fixed points but can generate hidden hyperchaos, so it is a hidden hyperchaotic map. The dynamical effects of the discrete memristor on the memristor-based Lozi map and two types of coexisting hidden attractors boosted by the initial conditions are demonstrated using some numerical methods. The numerical results clearly show that the introduced discrete memristor allows the proposed map to have complicated hidden dynamics evolutions and also exhibit heterogeneous and homogeneous hidden multistability. Finally, a digital platform is used to realize the memristor-based Lozi map, and its experimental phase portraits are obtained to confirm the numerical ones.

Suggested Citation

  • Jiang Wang & Yang Gu & Kang Rong & Quan Xu & Xi Zhang, 2022. "Memristor-Based Lozi Map with Hidden Hyperchaos," Mathematics, MDPI, vol. 10(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3426-:d:920673
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    References listed on IDEAS

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    1. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
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    Cited by:

    1. Tareq Hamadneh & Souad Bensid Ahmed & Hassan Al-Tarawneh & Omar Alsayyed & Gharib Mousa Gharib & Maha S. Al Soudi & Abderrahmane Abbes & Adel Ouannas, 2023. "The New Four-Dimensional Fractional Chaotic Map with Constant and Variable-Order: Chaos, Control and Synchronization," Mathematics, MDPI, vol. 11(20), pages 1-19, October.
    2. Othman Abdullah Almatroud & Viet-Thanh Pham, 2023. "Building Fixed Point-Free Maps with Memristor," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    3. Othman Abdullah Almatroud & Viet-Thanh Pham & Giuseppe Grassi & Mohammad Alshammari & Sahar Albosaily & Van Van Huynh, 2023. "Design of High-Dimensional Maps with Sine Terms," Mathematics, MDPI, vol. 11(17), pages 1-10, August.

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