Publication detail

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

PETRŽELA, J. DOMANSKÝ, O.

Original Title

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

English Title

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

Type

conference paper

Language

en

Original Abstract

This paper demonstrates through computer-aided simulations that simple loop composed of single nonlinear active two-port and a fractional-order filter can generate robust chaotic attractor. Involved passive ladder trans-impedance mode filter contains two-terminal constant phase element that is accurately approximated in the frequency domain in wide frequency range; beginning at 10 Hz and ending with 1 MHz. It is shown that the mathematical order of a designed lumped chaotic system can be decreased significantly below 3 without qualitative changes in the global dynamics. Fundamental properties of the filtering network responsible for chaos evolution are specified and discussed.

English abstract

This paper demonstrates through computer-aided simulations that simple loop composed of single nonlinear active two-port and a fractional-order filter can generate robust chaotic attractor. Involved passive ladder trans-impedance mode filter contains two-terminal constant phase element that is accurately approximated in the frequency domain in wide frequency range; beginning at 10 Hz and ending with 1 MHz. It is shown that the mathematical order of a designed lumped chaotic system can be decreased significantly below 3 without qualitative changes in the global dynamics. Fundamental properties of the filtering network responsible for chaos evolution are specified and discussed.

Keywords

chaos theory; fractional-order inductor; laplace transform; nonlinear dynamics; oscillator; strange attractors; trans-immittance; transfer function

Released

01.07.2019

Publisher

IEEE

Location

NEW YORK

ISBN

978-1-7281-1864-2

Book

Proceedings of 42nd International Conference on Telecommunications and Signal Processing

Pages from

327

Pages to

331

Pages count

5

URL

BibTex


@inproceedings{BUT157675,
  author="Jiří {Petržela} and Ondřej {Domanský}",
  title="Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor",
  annote="This paper demonstrates through computer-aided simulations that simple loop composed of single nonlinear active two-port and a fractional-order filter can generate robust chaotic attractor. Involved passive ladder trans-impedance mode filter contains two-terminal constant phase element that is accurately approximated in the frequency domain in wide frequency range; beginning at 10 Hz and ending with 1 MHz. It is shown that the mathematical order of a designed lumped chaotic system can be decreased significantly below 3 without qualitative changes in the global dynamics. Fundamental properties of the filtering network responsible for chaos evolution are specified and discussed.",
  address="IEEE",
  booktitle="Proceedings of 42nd International Conference on Telecommunications and Signal Processing",
  chapter="157675",
  doi="10.1109/TSP.2019.8769106",
  howpublished="online",
  institution="IEEE",
  year="2019",
  month="july",
  pages="327--331",
  publisher="IEEE",
  type="conference paper"
}