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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
Released
1. 12. 2023
Publisher
MDPI
Location
Basel
ISBN
2075-1680
Periodical
Axioms
Year of study
12
Number
State
Swiss Confederation
Pages from
1
Pages to
16
Pages count
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" }