Publication detail

Chaotic steady states of the Reinartz oscillator: mathematical evidence and experimental confirmation

PETRŽELA, J.

Original Title

Chaotic steady states of the Reinartz oscillator: mathematical evidence and experimental confirmation

Type

journal article in Web of Science

Language

English

Original Abstract

This paper contributes to the problem of chaos and hyperchaos localization in the fundamental structure of analog building blocks dedicated to single-tone harmonic signal generation. This time, the known Reinartz sinusoidal oscillator is addressed, considering its conventional topology, both via numerical analysis and experiments using a flow-equivalent lumped electronic circuit. It is shown that physically reasonable values of circuit parameters can result in robust dynamical behavior characterized by a pair of positive Lyapunov exponents. Mandatory numerical results prove that discovered strange attractors exhibit all necessary fingerprints of structurally stable chaos. The new “chaotic” parameters are closely related to the standard operation of the investigated analog functional block. A few interestingly shaped, strange attractors have been captured as oscilloscope screenshots.

Keywords

Reinartz oscillator; generalized transistor; two-port admittance parameters; numerical analysis; hyperchaos; chaos; strange attractor

Authors

PETRŽELA, J.

Released

1. 12. 2023

Publisher

MDPI

Location

Basel

ISBN

2075-1680

Periodical

Axioms

Year of study

12

Number

12

State

Swiss Confederation

Pages from

1

Pages to

16

Pages count

16

URL

https://www.mdpi.com/2075-1680/12/12/1101

Full text in the Digital Library

http://hdl.handle.net/11012/245176

BibTex

@article{BUT185629,
  author="Jiří {Petržela}",
  title="Chaotic steady states of the Reinartz oscillator: mathematical evidence and experimental confirmation",
  journal="Axioms",
  year="2023",
  volume="12",
  number="12",
  pages="1--16",
  doi="10.3390/axioms12121101",
  issn="2075-1680",
  url="https://www.mdpi.com/2075-1680/12/12/1101"
}