Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

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"
}