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PETRŽELA, J. POLÁK, L.
Original Title
Sinusoidal oscillator parametrically forced to robust hyperchaotic states: the lumpkin case
Type
journal article in Web of Science
Language
English
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.
Keywords
Chaotic circuit; Lyapunov exponents; Recurrence plot; Lumpkin oscillator; Strange attractor
Authors
PETRŽELA, J.; POLÁK, L.
Released
24. 6. 2024
Publisher
SPRINGER
Location
DORDRECHT
ISBN
1573-269X
Periodical
NONLINEAR DYNAMICS
Year of study
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="21", doi="10.1007/s11071-024-09896-y", issn="1573-269X", url="https://link.springer.com/article/10.1007/s11071-024-09896-y" }