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PETRŽELA, J.
Original Title
Chaotic and hyperchaotic dynamics of a Clapp oscillator
Type
journal article in Web of Science
Language
English
Original Abstract
This paper describes recent findings achieved during a numerical investigation of the circuit known as the Clapp oscillator. By considering the generalized bipolar transistor as an active element and after applying the search-for-chaos optimization approach, parameter regions that lead to either chaotic or hyperchaotic dynamics were discovered. For starters, the two-port that represents the transistor was firstly assumed to have a polynomial-forward trans-conductance; then the shape of trans-conductance changes into the piecewise-linear characteristics. Both cases cause vector field symmetry and allow the coexistence of several different attractors. Chaotic and hyperchaotic behavior were deeply analyzed by using standard numerical tools such as Lyapunov exponents, basins of attraction, bifurcation diagrams, and solution sensitivity. The structural stability of strange attractors observed numerically was finally proved via a real practical experiment: a flow-equivalent chaotic oscillator was constructed as the lumped electronic circuit, and desired attractors were captured and provided as oscilloscope screenshots.
Keywords
Clapp oscillator; chaos; hyperchaos; Lyapunov exponents; strange attractors
Authors
Released
30. 5. 2022
Publisher
MDPI
Location
BASEL
ISBN
2227-7390
Periodical
Mathematics
Year of study
10
Number
11
State
Swiss Confederation
Pages from
1
Pages to
20
Pages count
21
URL
https://www.mdpi.com/2227-7390/10/11/1868
Full text in the Digital Library
http://hdl.handle.net/11012/207503
BibTex
@article{BUT178069, author="Jiří {Petržela}", title="Chaotic and hyperchaotic dynamics of a Clapp oscillator", journal="Mathematics", year="2022", volume="10", number="11", pages="1--20", doi="10.3390/math10111868", issn="2227-7390", url="https://www.mdpi.com/2227-7390/10/11/1868" }