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A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting

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  • Du, Chuanhong
  • Liu, Licai
  • Zhang, Zhengping
  • Yu, Shixing

Abstract

In the field of information processing, peripherals are often required to modulate the signal in terms of amplitude and position. At present, amplitude and offset boosting control of chaotic signals are mainly achieved by introducing additional constants or functions, and few systems rely on their parameters. In this work, a Wien-Bridge circuit is designed based on a voltage-controlled memristor. In addition to implementing the boosting control by introducing additional constants, the system exhibits both linear and nonlinear offset boosting behavior and amplitude control by changing the system’s parameters. This facilitates the reduction of the number of external devices for signal modulation. Besides, the system also presents coexisting symmetric attractors and bistability. These dynamic characteristics are investigated using Lyapunov exponents, bifurcation diagram, attractor projection, frequency spectra, attraction basin, and chaotic characteristic diagram. Finally, the system is implemented using DSP, which provides the basis for the application of chaotic modulation.

Suggested Citation

  • Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2022. "A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010116
    DOI: 10.1016/j.chaos.2022.112832
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    References listed on IDEAS

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    1. Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2021. "Double memristors oscillator with hidden stacked attractors and its multi-transient and multistability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Wu, H.G. & Ye, Y. & Bao, B.C. & Chen, M. & Xu, Q., 2019. "Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 178-185.
    3. Peng Cheng & Hai Wang & Vladimir Stojanovic & Fei Liu & Shuping He & Kaibo Shi, 2022. "Dissipativity-based finite-time asynchronous output feedback control for wind turbine system via a hidden Markov model," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(15), pages 3177-3189, November.
    4. Ma, Xujiong & Mou, Jun & Xiong, Li & Banerjee, Santo & Cao, Yinghong & Wang, Jieyang, 2021. "A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Silva-Juárez, Alejandro & Tlelo-Cuautle, Esteban & de la Fraga, Luis Gerardo & Li, Rui, 2021. "Optimization of the Kaplan-Yorke dimension in fractional-order chaotic oscillators by metaheuristics," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    6. Zlatkovic, Bojana M. & Samardzic, Biljana, 2019. "Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 86-93.
    7. Gu, Shuangquan & He, Shaobo & Wang, Huihai & Du, Baoxiang, 2021. "Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    8. Akgül, Akif & Rajagopal, Karthikeyan & Durdu, Ali & Pala, Muhammed Ali & Boyraz, Ömer Faruk & Yildiz, Mustafa Zahid, 2021. "A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    Cited by:

    1. Song, Jin & Han, Xiujing, 2024. "Effects of modulation phase on relaxation oscillations in the Duffing system," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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