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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU149758" target="_blank" >RIV/00216305:26220/23:PU149758 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2075-1680/12/12/1101" target="_blank" >https://www.mdpi.com/2075-1680/12/12/1101</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms12121101" target="_blank" >10.3390/axioms12121101</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20201 - Electrical and electronic engineering

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Axioms

ISSN

2075-1680

e-ISSN

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Volume of the periodical

12

Issue of the periodical within the volume

12

Country of publishing house

CH - SWITZERLAND

Number of pages

16

Pages from-to

1-16

UT code for WoS article

001130750000001

EID of the result in the Scopus database

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