Detail publikace

Chaotic and hyperchaotic dynamics of a Clapp oscillator

PETRŽELA, J.

Originální název

Chaotic and hyperchaotic dynamics of a Clapp oscillator

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Clapp oscillator; chaos; hyperchaos; Lyapunov exponents; strange attractors

Autoři

PETRŽELA, J.

Vydáno

30. 5. 2022

Nakladatel

MDPI

Místo

BASEL

ISSN

2227-7390

Periodikum

Mathematics

Ročník

10

Číslo

11

Stát

Švýcarská konfederace

Strany od

1

Strany do

20

Strany počet

21

URL

https://www.mdpi.com/2227-7390/10/11/1868

Plný text v Digitální knihovně

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"
}