The Reinartz oscillator: analysis beyond regular behavior of the circuit

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F25%3A00563375" target="_blank" >RIV/60162694:G43__/25:00563375 - isvavai.cz</a>

Výsledek na webu

<a href="https://ieeexplore.ieee.org/document/10542133" target="_blank" >https://ieeexplore.ieee.org/document/10542133</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/ACCESS.2024.3407654" target="_blank" >10.1109/ACCESS.2024.3407654</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Reinartz oscillator: analysis beyond regular behavior of the circuit

Popis výsledku v původním jazyce

This paper is focused on nonlinear behavior associated with fourth-order autonomous lumped circuit known as the Reinartz oscillator. It is shown that this naturally sinusoidal oscillator with three-winding transformer can exhibit robust chaotic behavior. Essential scalar polynomial nonlinearity is not intrinsic to transformer, but to active two-port element described by impedance parameters. The existence of complex solutions is proved on numerical as well as experimental basis. In the first case, conventional routines for qualitative analysis of dynamical flows were applied, based on either prescribed set of differential equations or generated data sequence. In detail, a pair of the largest Lyapunov exponents are visualized with respect to key system parameters, attractor dimensions, recurrence plots and bifurcation diagrams showing interesting routes-to-chaos scenarios are provided to illustrate complexity of observed steady state motion. For the second case, electronic circuits dynamically equivalent to investigated mathematical model will be designed, constructed, and experimentally measured. Chaotic signals captured as oscilloscope screenshots will be compared to theoretical counterparts.

Název v anglickém jazyce

The Reinartz oscillator: analysis beyond regular behavior of the circuit

Popis výsledku anglicky

This paper is focused on nonlinear behavior associated with fourth-order autonomous lumped circuit known as the Reinartz oscillator. It is shown that this naturally sinusoidal oscillator with three-winding transformer can exhibit robust chaotic behavior. Essential scalar polynomial nonlinearity is not intrinsic to transformer, but to active two-port element described by impedance parameters. The existence of complex solutions is proved on numerical as well as experimental basis. In the first case, conventional routines for qualitative analysis of dynamical flows were applied, based on either prescribed set of differential equations or generated data sequence. In detail, a pair of the largest Lyapunov exponents are visualized with respect to key system parameters, attractor dimensions, recurrence plots and bifurcation diagrams showing interesting routes-to-chaos scenarios are provided to illustrate complexity of observed steady state motion. For the second case, electronic circuits dynamically equivalent to investigated mathematical model will be designed, constructed, and experimentally measured. Chaotic signals captured as oscilloscope screenshots will be compared to theoretical counterparts.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/VK01030060" target="_blank" >VK01030060: Okamžité zpracování signálů pomocí hybridních systémů v obranné infrastruktuře</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

IEEE ACCESS

ISSN

2169-3536

e-ISSN

—

Svazek periodika

—

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

77891-77902

Kód UT WoS článku

001239962000001

EID výsledku v databázi Scopus

2-s2.0-85194857859