Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case
This paper presents and briefly discusses recent observations of dynamics associated with isolated generalized bipolar transistor cells. A mathematical model of this simple system is considered on the highest level of abstraction such that it comprises many different network topologies. The key prop...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/2/175 |
| _version_ | 1797405748405207040 |
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| author | Jiri Petrzela |
| author_facet | Jiri Petrzela |
| author_sort | Jiri Petrzela |
| collection | DOAJ |
| description | This paper presents and briefly discusses recent observations of dynamics associated with isolated generalized bipolar transistor cells. A mathematical model of this simple system is considered on the highest level of abstraction such that it comprises many different network topologies. The key property of the analyzed structure is its bias point since the transistor is modeled via two-port admittance parameters. A necessary but not sufficient condition for the evolution of autonomous complex behavior is the nonlinear bilateral nature of the transistor with arbitrary reason that causes this effect. It is proved both by numerical analysis and experimental measurement that chaotic motion is miscellaneous, robust, and it is neither numerical artifact nor long transient motion. |
| first_indexed | 2024-03-09T03:15:38Z |
| format | Article |
| id | doaj.art-1d75fd4319f24aba906acbdce36867a6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T03:15:38Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1d75fd4319f24aba906acbdce36867a62023-12-03T15:22:26ZengMDPI AGEntropy1099-43002021-01-0123217510.3390/e23020175Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear CaseJiri Petrzela0Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech RepublicThis paper presents and briefly discusses recent observations of dynamics associated with isolated generalized bipolar transistor cells. A mathematical model of this simple system is considered on the highest level of abstraction such that it comprises many different network topologies. The key property of the analyzed structure is its bias point since the transistor is modeled via two-port admittance parameters. A necessary but not sufficient condition for the evolution of autonomous complex behavior is the nonlinear bilateral nature of the transistor with arbitrary reason that causes this effect. It is proved both by numerical analysis and experimental measurement that chaotic motion is miscellaneous, robust, and it is neither numerical artifact nor long transient motion.https://www.mdpi.com/1099-4300/23/2/175admittance parametersbipolar transistorentropychaosLypunov exponentnon-unilateral two-port |
| spellingShingle | Jiri Petrzela Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case Entropy admittance parameters bipolar transistor entropy chaos Lypunov exponent non-unilateral two-port |
| title | Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case |
| title_full | Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case |
| title_fullStr | Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case |
| title_full_unstemmed | Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case |
| title_short | Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case |
| title_sort | evidence of strange attractors in class c amplifier with single bipolar transistor polynomial and piecewise linear case |
| topic | admittance parameters bipolar transistor entropy chaos Lypunov exponent non-unilateral two-port |
| url | https://www.mdpi.com/1099-4300/23/2/175 |
| work_keys_str_mv | AT jiripetrzela evidenceofstrangeattractorsinclasscamplifierwithsinglebipolartransistorpolynomialandpiecewiselinearcase |