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A Switchable Chaotic Oscillator with Multiscale Amplitude/Frequency Control

Author

Listed:
  • Zhoubin Sheng

    (School of Computer Science and Technology, Nanjing Tech University, Nanjing 210044, China)

  • Chunbiao Li

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China
    School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Yikai Gao

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China
    School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Zhinan Li

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China
    School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Lin Chai

    (School of Mathematical Sciences, University of Jinan, Jinan 250022, China)

Abstract

For the wide frequency spectrum of chaotic signals, it is difficult to realize chaotic signal conditioning. Therefore, researchers turn to the exploration of chaotic systems with independent non-bifurcation control for easy chaos modification. In this paper, a system with only one non-quadratic term is modified for providing multiscale amplitude/frequency control. By adjusting the feedback with an odd higher degree term, a switchable chaotic oscillator is obtained, which provides the different scales of amplitude/frequency control with the chaotic signal. Multisim-based circuit simulation shows the efficiency and convenience of chaotic signal control.

Suggested Citation

  • Zhoubin Sheng & Chunbiao Li & Yikai Gao & Zhinan Li & Lin Chai, 2023. "A Switchable Chaotic Oscillator with Multiscale Amplitude/Frequency Control," Mathematics, MDPI, vol. 11(3), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:618-:d:1047144
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    References listed on IDEAS

    as
    1. Jianchao Liang & Jian Liu & Guanrong Chen, 2022. "Observer-Based Synchronization Of Time-Delay Complex-Variable Chaotic Systems With Complex Parameters," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-11, December.
    2. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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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).
    2. Amir Rezaie & Saleh Mobayen & Mohammad Reza Ghaemi & Afef Fekih & Anton Zhilenkov, 2023. "Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances," Mathematics, MDPI, vol. 11(15), pages 1-14, July.

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