Chaotic systems based on higher-order oscillatory equations
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Chaotic systems based on higher-order oscillatory equations
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Scientific Reports
ISSN
2045-2322
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
21075-21095
UT code for WoS article
001317044700063
EID of the result in the Scopus database
2-s2.0-85203453088