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Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors

Author

Listed:
  • Jiri Petrzela

    (Department of Radio Electronics, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic)

  • Miroslav Rujzl

    (Department of Radio Electronics, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic)

Abstract

This paper describes, based on both numerical and experimental bases, the evolution of chaotic and, in some cases, hyperchaotic attractors within mathematical models of two two-port analog functional blocks commonly used inside radio-frequency systems. The first investigated electronic circuit is known as the cascoded class C amplifier and the second network represents a resonant amplifier with Darlington’s active part. For the analysis of each mentioned block, fundamental configurations that contain coupled generalized bipolar transistors are considered; without driving force or interactions with other lumped circuits. The existence of the structurally stable strange attractors is proved via the high-resolution composition plots of the Lyapunov exponents, numerical sensitivity analysis and captured oscilloscope screenshots.

Suggested Citation

  • Jiri Petrzela & Miroslav Rujzl, 2022. "Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors," Mathematics, MDPI, vol. 10(3), pages 1-25, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:532-:d:744852
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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. Fuchen Zhang, 2019. "Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions," Complexity, Hindawi, vol. 2019, pages 1-6, July.
    3. Jiri Petrzela, 2020. "New Chaotic Oscillator Derived from Class C Single Transistor-Based Amplifier," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-18, November.
    4. 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).
    5. Kiliç, Recai & Yildirim, Fatma, 2008. "A survey of Wien bridge-based chaotic oscillators: Design and experimental issues," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1394-1410.
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    Cited by:

    1. Jiri Petrzela, 2022. "Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example," Mathematics, MDPI, vol. 10(21), pages 1-28, November.
    2. Luigi Fortuna & Arturo Buscarino, 2022. "Analog Circuits," Mathematics, MDPI, vol. 10(24), pages 1-4, December.

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