Publication detail

Simple chaotic oscillator with filtering passive two-port having fractional-order segments

PETRŽELA, J.

Original Title

Simple chaotic oscillator with filtering passive two-port having fractional-order segments

Type

conference paper

Language

English

Original Abstract

Individual results coming from this paper can be considered as computer-aided confirmation of presence of robust chaos within dynamics of lumped electronic system composed by a closed-loop of filter and nonlinear active two-port. It is showed that the fully-passive voltage-mode filter with a fractional-order sub-part can generate interesting dense strange state attractors. Moreover, these attractors are geometrically different from those produced by a similar integer-order mathematical model which is a third-order autonomous deterministic dynamical system. There is strong reason to believe that oscillators provided in this paper belong to the simplest-possible fractional-order chaotic systems. Existence of the structurally stable chaotic attractors is proved by showing plane projections, i.e. oscilloscope screenshots.

Keywords

circuit synthesis; chaos; decomposed filters; laplace transform; nonlinear dynamics; oscillator; strange attractors; transfer function

Authors

PETRŽELA, J.

Released

27. 6. 2019

Publisher

IEEE

Location

Rzeszow, Poland

ISBN

978-83-63578-15-2

Book

Proceedings on 25th International Conference "Mixed Design of Integrated Circuits and System" (MIXDES)

Pages from

327

Pages to

332

Pages count

6

URL

https://ieeexplore.ieee.org/document/8787078

BibTex

@inproceedings{BUT157512,
  author="Jiří {Petržela}",
  title="Simple chaotic oscillator with filtering passive two-port having fractional-order segments",
  booktitle="Proceedings on 25th International Conference {"}Mixed Design of Integrated Circuits and System{"} (MIXDES)",
  year="2019",
  pages="327--332",
  publisher="IEEE",
  address="Rzeszow, Poland",
  doi="10.23919/MIXDES.2019.8787078",
  isbn="978-83-63578-15-2",
  url="https://ieeexplore.ieee.org/document/8787078"
}