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PETRŽELA, J. DOMANSKÝ, O.
Original Title
Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor
Type
conference paper
Language
English
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.
Keywords
chaos theory; fractional-order inductor; laplace transform; nonlinear dynamics; oscillator; strange attractors; trans-immittance; transfer function
Authors
PETRŽELA, J.; DOMANSKÝ, O.
Released
1. 7. 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
https://tsp.vutbr.cz
BibTex
@inproceedings{BUT157675, author="Jiří {Petržela} and Ondřej {Domanský}", title="Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor", booktitle="Proceedings of 42nd International Conference on Telecommunications and Signal Processing", year="2019", pages="327--331", publisher="IEEE", address="NEW YORK", doi="10.1109/TSP.2019.8769106", isbn="978-1-7281-1864-2", url="https://tsp.vutbr.cz" }