Chaotic and hyperchaotic dynamics of a Clapp oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144650" target="_blank" >RIV/00216305:26220/22:PU144650 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/10/11/1868" target="_blank" >https://www.mdpi.com/2227-7390/10/11/1868</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math10111868" target="_blank" >10.3390/math10111868</a>
Alternative languages
Result language
angličtina
Original language name
Chaotic and hyperchaotic dynamics of a Clapp oscillator
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA19-22248S" target="_blank" >GA19-22248S: Deterministic, chaotic and stochastic phenomena in the sub-micron integrated structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
11
Country of publishing house
CH - SWITZERLAND
Number of pages
21
Pages from-to
1-20
UT code for WoS article
000808990500001
EID of the result in the Scopus database
2-s2.0-85131700236