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

English Title

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

Type

conference paper

Language

en

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.

English 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

Released

27.06.2019

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

BibTex


@inproceedings{BUT157512,
  author="Jiří {Petržela}",
  title="Simple chaotic oscillator with filtering passive two-port having fractional-order segments",
  annote="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.",
  address="IEEE",
  booktitle="Proceedings on 25th International Conference "Mixed Design of Integrated Circuits and System" (MIXDES)",
  chapter="157512",
  doi="10.23919/MIXDES.2019.8787078",
  howpublished="electronic, physical medium",
  institution="IEEE",
  year="2019",
  month="june",
  pages="327--332",
  publisher="IEEE",
  type="conference paper"
}