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Chaotic States of Transistor-Based Tuned-Collector Oscillator

Author

Listed:
  • Jiri Petrzela

    (Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic)

Abstract

This brief paper shows that robust chaotic behavior can be detected within a tuned-collector single-stage transistor-based oscillator. The content of this work also contributes to the problem of chaos localization in simplified mathematical model of standard analog building block. Searching for chaos is performed via numerical optimization routine applied onto the principal schematic of oscillator where generalized bipolar transistor is modelled as a two-port described by impedance as well as admittance matrix. In both cases, the presence of dense chaotic attractor is proved via calculation of the largest Lyapunov exponent, while its structural stability is validated by real measurement, i.e., visualization of captured oscilloscope screenshots.

Suggested Citation

  • Jiri Petrzela, 2023. "Chaotic States of Transistor-Based Tuned-Collector Oscillator," Mathematics, MDPI, vol. 11(9), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2213-:d:1141716
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    References listed on IDEAS

    as
    1. Martín Alejandro Valencia-Ponce & Esteban Tlelo-Cuautle & Luis Gerardo de la Fraga, 2021. "Estimating the Highest Time-Step in Numerical Methods to Enhance the Optimization of Chaotic Oscillators," Mathematics, MDPI, vol. 9(16), pages 1-15, August.
    2. Jiri Petrzela, 2022. "Chaotic and Hyperchaotic Dynamics of a Clapp Oscillator," Mathematics, MDPI, vol. 10(11), pages 1-20, May.
    3. Jose-Cruz Nuñez-Perez & Vincent-Ademola Adeyemi & Yuma Sandoval-Ibarra & Francisco-Javier Perez-Pinal & Esteban Tlelo-Cuautle, 2021. "Maximizing the Chaotic Behavior of Fractional Order Chen System by Evolutionary Algorithms," Mathematics, MDPI, vol. 9(11), pages 1-22, May.
    Full references (including those not matched with items on IDEAS)

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