Publication result detail

Chaotic oscillations in cascoded and Darlington-type amplifier having generalized transistors

PETRŽELA, J.; RUJZL, M.

Original Title

Chaotic oscillations in cascoded and Darlington-type amplifier having generalized transistors

English Title

Chaotic oscillations in cascoded and Darlington-type amplifier having generalized transistors

Type

WoS Article

Original 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.

English 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.

Keywords

auto-oscillations; cascoded amplifier; Darlington pair; chaotic circuit; chaotic oscillator; hyper chaos; resonant amplifier; self-excited attractor; strange attractor

Key words in English

auto-oscillations; cascoded amplifier; Darlington pair; chaotic circuit; chaotic oscillator; hyper chaos; resonant amplifier; self-excited attractor; strange attractor

Authors

PETRŽELA, J.; RUJZL, M.

RIV year

2023

Released

08.02.2022

Publisher

MDPI

Location

BASEL

ISBN

2227-7390

Periodical

Mathematics

Volume

10

Number

3

State

Swiss Confederation

Pages from

532

Pages to

556

Pages count

25

URL

https://www.mdpi.com/2227-7390/10/3/532

Full text in the Digital Library

http://hdl.handle.net/11012/204702

BibTex

@article{BUT178067,
  author="Jiří {Petržela} and Miroslav {Ruiz}",
  title="Chaotic oscillations in cascoded and Darlington-type amplifier having generalized transistors",
  journal="Mathematics",
  year="2022",
  volume="10",
  number="3",
  pages="532--556",
  doi="10.3390/math10030532",
  url="https://www.mdpi.com/2227-7390/10/3/532"
}

Documents

mathematics-10-00532-v3