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PETRŽELA, J.
Originální název
Chaotic systems based on higher-order oscillatory equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Chaos; chaotic system; oscillatory equation; strange attractor
Autoři
Vydáno
10. 9. 2024
Nakladatel
NATURE PORTFOLIO
Místo
HEIDELBERGER PLATZ 3, BERLIN 14197, GERMANY
ISSN
2045-2322
Periodikum
Scientific Reports
Ročník
14
Číslo
1
Stát
Spojené království Velké Británie a Severního Irska
Strany od
21075
Strany do
21095
Strany počet
21
URL
https://www.nature.com/articles/s41598-024-72034-6
Plný text v Digitální knihovně
http://hdl.handle.net/11012/249484
BibTex
@article{BUT189607, author="Jiří {Petržela}", title="Chaotic systems based on higher-order oscillatory equations", journal="Scientific Reports", year="2024", volume="14", number="1", pages="21075--21095", doi="10.1038/s41598-024-72034-6", issn="2045-2322", url="https://www.nature.com/articles/s41598-024-72034-6" }