Publication detail

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

PETRŽELA, J.

Original Title

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

English Title

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Type

conference paper

Language

en

Original Abstract

This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.

English abstract

This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.

Keywords

analogue oscillator, circuit synthesis, chaos, line equilibria, nonlinear dynamics

RIV year

2015

Released

21.04.2015

Location

Pardubice

ISBN

978-1-4799-8117-5

Book

25th Conference Radioelektronika 2015

Pages from

51

Pages to

55

Pages count

5

URL

BibTex


@inproceedings{BUT114307,
  author="Jiří {Petržela}",
  title="Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum",
  annote="This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.",
  booktitle="25th Conference Radioelektronika 2015",
  chapter="114307",
  doi="10.1109/RADIOELEK.2015.7129001",
  howpublished="print",
  year="2015",
  month="april",
  pages="51--55",
  type="conference paper"
}