Detail publikačního výsledku

Chaotic systems based on higher-order oscillatory equations

PETRŽELA, J.

Originální název

Chaotic systems based on higher-order oscillatory equations

Anglický název

Chaotic systems based on higher-order oscillatory equations

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

Chaos; chaotic system; oscillatory equation; strange attractor

Autoři

PETRŽELA, J.

Rok RIV

2025

Vydáno

10.09.2024

Nakladatel

NATURE PORTFOLIO

Místo

HEIDELBERGER PLATZ 3, BERLIN 14197, GERMANY

ISSN

2045-2322

Periodikum

Scientific Reports

Svazek

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"
}

Dokumenty

s41598-024-72034-6