Publication result detail

Sinusoidal oscillator parametrically forced to robust hyperchaotic states: the lumpkin case

PETRŽELA, J.; POLÁK, L.

Original Title

Sinusoidal oscillator parametrically forced to robust hyperchaotic states: the lumpkin case

English Title

Sinusoidal oscillator parametrically forced to robust hyperchaotic states: the lumpkin case

Type

WoS Article

Original Abstract

The objective of this paper is to showcase the capability of the conventional circuit structure known as the Lumpkin oscillator, widely employed in practical applications, to operate in robust chaotic or hyperchaotic steady states. Through numerical analysis, we demonstrate that the generated signals exhibit a significant level of unpredictability and randomness, as evidenced by positive Lyapunov exponents, approximate entropy, recurrence plots, and other indicators of complex dynamics. We establish the structural stability of strange attractors through design and practical construction of a flow-equivalent fourth-order chaotic oscillator, followed by experimental measurements. The oscilloscope screenshots captured align well with the plane projections of the approximate solutions derived from the underlying mathematical models.

English abstract

The objective of this paper is to showcase the capability of the conventional circuit structure known as the Lumpkin oscillator, widely employed in practical applications, to operate in robust chaotic or hyperchaotic steady states. Through numerical analysis, we demonstrate that the generated signals exhibit a significant level of unpredictability and randomness, as evidenced by positive Lyapunov exponents, approximate entropy, recurrence plots, and other indicators of complex dynamics. We establish the structural stability of strange attractors through design and practical construction of a flow-equivalent fourth-order chaotic oscillator, followed by experimental measurements. The oscilloscope screenshots captured align well with the plane projections of the approximate solutions derived from the underlying mathematical models.

Keywords

Chaotic circuit; Lyapunov exponents; Recurrence plot; Lumpkin oscillator; Strange attractor

Key words in English

Chaotic circuit; Lyapunov exponents; Recurrence plot; Lumpkin oscillator; Strange attractor

Authors

PETRŽELA, J.; POLÁK, L.

RIV year

2025

Released

24.06.2024

Publisher

SPRINGER

Location

DORDRECHT

ISBN

1573-269X

Periodical

NONLINEAR DYNAMICS

Volume

112

Number

18

State

United States of America

Pages from

16423

Pages to

16443

Pages count

21

URL

https://link.springer.com/article/10.1007/s11071-024-09896-y

Full text in the Digital Library

http://hdl.handle.net/11012/249482

BibTex

@article{BUT189008,
  author="Jiří {Petržela} and Ladislav {Polák}",
  title="Sinusoidal oscillator parametrically forced to robust hyperchaotic states: the lumpkin case",
  journal="NONLINEAR DYNAMICS",
  year="2024",
  volume="112",
  number="18",
  pages="16423--16443",
  doi="10.1007/s11071-024-09896-y",
  issn="0924-090X",
  url="https://link.springer.com/article/10.1007/s11071-024-09896-y"
}

Documents

s11071-024-09896-y