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A Novel Voltage-Controlled Tri-Valued Memristor and Its Application in Chaotic System

Author

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  • Xiaoyuan Wang
  • Xue Zhang
  • Meng Gao

Abstract

Memristor is a kind of passive nonlinear element, which is widely used in nonlinear systems, especially chaotic systems, because of its nanometer size, nonvolatile property, and good nonlinear characteristics. Compared with general chaotic systems, chaotic systems based on memristors have richer dynamic characteristics. However, the current research mainly focuses on the binary and continuous chaotic systems based on memristors, and studies on the tri-valued and multi-valued memristor chaotic systems are relative scarce. For this reason, a mathematical model of tri-valued memristor is proposed, and the circuit characteristics of the model are studied. Furthermore, based on this model, a new chaotic system is designed and analyzed. This innovation enriches the types of chaotic systems and lays the foundation for the application of tri-valued and multi-valued memristors in nonlinear systems.

Suggested Citation

  • Xiaoyuan Wang & Xue Zhang & Meng Gao, 2020. "A Novel Voltage-Controlled Tri-Valued Memristor and Its Application in Chaotic System," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:complx:6949703
    DOI: 10.1155/2020/6949703
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    Cited by:

    1. Xiaoyuan Wang & Xinrui Zhang & Meng Gao & Yuanze Tian & Chunhua Wang & Herbert Ho-Ching Iu, 2023. "A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    2. Wang, Xiaoyuan & Gao, Meng & Iu, Herbert Ho-Ching & Wang, Chunhua, 2022. "Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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