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A Memristor-Based Colpitts Oscillator Circuit

Author

Listed:
  • Ling Zhou

    (School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China)

  • Zhenzhen You

    (School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China)

  • Xiaolin Liang

    (School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China)

  • Xiaowu Li

    (School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China)

Abstract

This paper investigates a simple memristor emulator consisting of a diode bridge and a capacitor. It exhibits pinched hysteresis loops, and what is more striking is the higher frequency, as it operates up to greater than 5 MHz. Based on the proposed memristor, a higher-frequency Colpitts circuit was established. According to the mathematical model of the system, the system only possesses one unstable equilibrium point. Period doubling bifurcation, reverse periodic doubling bifurcation, different types of periodic and chaotic orbits, transient chaos, coexisting bifurcations and offset boosting are depicted. More interestingly, it has coexisting multiple attractors with different topologies, such as a chaotic attractor accompanied with periodic orbits, period-1 orbits with bicuspid structure and periodic-2 orbits with tridentate structure. Moreover, a hardware circuit using discrete components was fabricated and experimental measurements were consistent with the MATLAB numerical results, further confirming the real feasibility of the proposed circuit.

Suggested Citation

  • Ling Zhou & Zhenzhen You & Xiaolin Liang & Xiaowu Li, 2022. "A Memristor-Based Colpitts Oscillator Circuit," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4820-:d:1007588
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    References listed on IDEAS

    as
    1. Wu, H. & Zhou, J. & Chen, M. & Xu, Q. & Bao, B., 2022. "DC-offset induced asymmetry in memristive diode-bridge-based Shinriki oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Parshina, Liubov & Novodvorsky, Oleg & Khramova, Olga & Gusev, Dmitriy & Polyakov, Alexander & Mikhalevsky, Vladimir & Cherebilo, Elena, 2021. "Laser synthesis of non-volatile memristor structures based on tantalum oxide thin films," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Wafo Tekam, Raoul Blaise & Kengne, Jacques & Djuidje Kenmoe, Germaine, 2019. "High frequency Colpitts’ oscillator: A simple configuration for chaos generation," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 351-360.
    4. Sabarathinam, S. & Thamilmaran, K., 2015. "Transient chaos in a globally coupled system of nearly conservative Hamiltonian Duffing oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 129-140.
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    Cited by:

    1. Minglin Ma & Kangling Xiong & Zhijun Li & Yichuang Sun, 2023. "Dynamic Behavior Analysis and Synchronization of Memristor-Coupled Heterogeneous Discrete Neural Networks," Mathematics, MDPI, vol. 11(2), pages 1-13, January.

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