Publication detail

Chaotic and hyperchaotic dynamics of a Clapp oscillator

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

PETRŽELA, J.

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"
}