Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors
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 kn...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/532 |
| _version_ | 1797486259858309120 |
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| author | Jiri Petrzela Miroslav Rujzl |
| author_facet | Jiri Petrzela Miroslav Rujzl |
| author_sort | Jiri Petrzela |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T23:31:38Z |
| format | Article |
| id | doaj.art-e6d2f1846c44456197987a644e3186ff |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:31:38Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e6d2f1846c44456197987a644e3186ff2023-11-23T17:09:04ZengMDPI AGMathematics2227-73902022-02-0110353210.3390/math10030532Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized TransistorsJiri Petrzela0Miroslav Rujzl1Department of Radio Electronics, Brno University of Technology, Technicka 12, 616 00 Brno, Czech RepublicDepartment of Radio Electronics, Brno University of Technology, Technicka 12, 616 00 Brno, Czech RepublicThis 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.https://www.mdpi.com/2227-7390/10/3/532auto-oscillationscascoded amplifierDarlington pairchaotic circuitchaotic oscillatorhyper chaos |
| spellingShingle | Jiri Petrzela Miroslav Rujzl Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors Mathematics auto-oscillations cascoded amplifier Darlington pair chaotic circuit chaotic oscillator hyper chaos |
| title | Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors |
| title_full | Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors |
| title_fullStr | Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors |
| title_full_unstemmed | Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors |
| title_short | Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors |
| title_sort | chaotic oscillations in cascoded and darlington type amplifier having generalized transistors |
| topic | auto-oscillations cascoded amplifier Darlington pair chaotic circuit chaotic oscillator hyper chaos |
| url | https://www.mdpi.com/2227-7390/10/3/532 |
| work_keys_str_mv | AT jiripetrzela chaoticoscillationsincascodedanddarlingtontypeamplifierhavinggeneralizedtransistors AT miroslavrujzl chaoticoscillationsincascodedanddarlingtontypeamplifierhavinggeneralizedtransistors |