Chaotic States of Transistor-Based Tuned-Collector Oscillator

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

Mathematics, 2023, vol. 11, issue 9, 1-13

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.

Keywords: chaos; chaotic oscillator; transistor-based circuit; two-port model; lyapunov exponents; admittance parameters; impedance parameters; forward trans-conductance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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