Publication result detail

Chaotic states of transistor-based tuned-collector oscillator

PETRŽELA, J.

Original Title

Chaotic states of transistor-based tuned-collector oscillator

English Title

Chaotic states of transistor-based tuned-collector oscillator

Type

WoS Article

Original 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.

English 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

Key words in English

chaos; chaotic oscillator; transistor-based circuit; two-port model; lyapunov exponents; admittance parameters; impedance parameters; forward trans-conductance

Authors

PETRŽELA, J.

RIV year

2024

Released

08.05.2023

Publisher

MDPI

Location

Basel

ISBN

2227-7390

Periodical

Mathematics

Volume

11

Number

9

State

Swiss Confederation

Pages from

1

Pages to

13

Pages count

13

URL

https://www.mdpi.com/2227-7390/11/9/2213

Full text in the Digital Library

http://hdl.handle.net/11012/212506

BibTex

@article{BUT183456,
  author="Jiří {Petržela}",
  title="Chaotic states of transistor-based tuned-collector oscillator",
  journal="Mathematics",
  year="2023",
  volume="11",
  number="9",
  pages="1--13",
  doi="10.3390/math11092213",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/11/9/2213"
}

Documents

mathematics-11-02213