Detail publikace

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Originální název

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Anglický název

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}