Chaotic systems based on higher-order oscillatory equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU152147" target="_blank" >RIV/00216305:26220/24:PU152147 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.nature.com/articles/s41598-024-72034-6" target="_blank" >https://www.nature.com/articles/s41598-024-72034-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/s41598-024-72034-6" target="_blank" >10.1038/s41598-024-72034-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Chaotic systems based on higher-order oscillatory equations

Popis výsledku v původním jazyce

This paper discusses the design process toward new lumped chaotic systems that originates in higher‑order ordinary differential equations commonly used as description of ideal oscillators. In investigated third‑order case, two chaotic oscillators were constructed. These systems are dual in the sense of vector field geometry local to fixed points. The existence of robust chaos was proved by both standard routines of numerical analysis and practical measurement. For the fourth‑order oscillatory equation, the concept based on interaction between superinductor and supercapacitor was examined in detail. Since both “superelements” are active, the nonlinearity essential to the evolution of chaos is fully passive. It is demonstrated that complex motion is robust and does not represent long transient behavior or numerical artefact. The existence of chaos was verified using standard quantifiers of the flow, such as the largest Lyapunov exponents, recurrence plots, approximate entropy and sensitivity calculation. A good final agreement between theoretical assumptions and practical results will be concluded, on a visual comparison basis.

Název v anglickém jazyce

Chaotic systems based on higher-order oscillatory equations

Popis výsledku anglicky

This paper discusses the design process toward new lumped chaotic systems that originates in higher‑order ordinary differential equations commonly used as description of ideal oscillators. In investigated third‑order case, two chaotic oscillators were constructed. These systems are dual in the sense of vector field geometry local to fixed points. The existence of robust chaos was proved by both standard routines of numerical analysis and practical measurement. For the fourth‑order oscillatory equation, the concept based on interaction between superinductor and supercapacitor was examined in detail. Since both “superelements” are active, the nonlinearity essential to the evolution of chaos is fully passive. It is demonstrated that complex motion is robust and does not represent long transient behavior or numerical artefact. The existence of chaos was verified using standard quantifiers of the flow, such as the largest Lyapunov exponents, recurrence plots, approximate entropy and sensitivity calculation. A good final agreement between theoretical assumptions and practical results will be concluded, on a visual comparison basis.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Scientific Reports

ISSN

2045-2322

e-ISSN

—

Svazek periodika

14

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

21075-21095

Kód UT WoS článku

001317044700063

EID výsledku v databázi Scopus

2-s2.0-85203453088