Publication detail

Canonical hyperchaotic oscillators with single generalized transistor and generative two-terminal elements

PETRŽELA, J.

Original Title

Canonical hyperchaotic oscillators with single generalized transistor and generative two-terminal elements

Type

journal article in Web of Science

Language

English

Original Abstract

This paper describes systematic design process toward fourth-order autonomous deterministic hyperchaotic oscillators with two coupled generative two-terminal elements. These active devices represent alternative to conventional dissipative accumulation elements such as capacitors and inductors. Analyzed network structures contain generalized bipolar transistor as only active element. Three different networks are studied, depending on common-electrode configurations. In each case, transistor is modelled using two-port admittance parameters with the non-zero linear backward and polynomial forward trans-conductance. As proved in paper, scalar nonlinearity caused by amplification property of transistor can push circuit into chaotic and, more interestingly, hyperchaotic steady states. Existence of parameter spaces leading to robust chaotic and hyperchaotic solution is documented by using concept of one-dimensional Lyapunov exponents and colored high-resolution surface-contour plots of two largest numbers. Geometrical structural stability of generated strange attractors is proved via construction of the flow-equivalent chaotic oscillator and real measurement. Plane projections of interesting observed attractors are captured by oscilloscope.

Keywords

Admittance parameters; bipolar transistor; frequency dependent negative resistor; chaos; chaotic oscillator; hyperchaos; Lyapunov exponents; strange attractors

Authors

PETRŽELA, J.

Released

29. 8. 2022

Publisher

IEEE

Location

USA

ISBN

2169-3536

Periodical

IEEE Access

Year of study

10

Number

9

State

United States of America

Pages from

90456

Pages to

90466

Pages count

10

URL

https://ieeexplore.ieee.org/document/9868022

BibTex

@article{BUT178923,
  author="Jiří {Petržela}",
  title="Canonical hyperchaotic oscillators with single generalized transistor and generative two-terminal elements",
  journal="IEEE Access",
  year="2022",
  volume="10",
  number="9",
  pages="90456--90466",
  doi="10.1109/ACCESS.2022.3201870",
  issn="2169-3536",
  url="https://ieeexplore.ieee.org/document/9868022"
}