Detail publikace

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

Originální název

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

Anglický název

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}