Detail publikačního výsledku

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

PETRŽELA, J.

Originální název

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Anglický název

Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

PETRŽELA, J.

Rok RIV

2016

Vydáno

21.04.2015

Místo

Pardubice

ISBN

978-1-4799-8117-5

Kniha

25th Conference Radioelektronika 2015

ISSN

NEUVEDENO

Strany od

51

Strany do

55

Strany počet

5

URL

https://ieeexplore.ieee.org/document/7129001

BibTex

@inproceedings{BUT114307,
  author="Jiří {Petržela}",
  title="Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum",
  booktitle="25th Conference Radioelektronika 2015",
  year="2015",
  pages="51--55",
  address="Pardubice",
  doi="10.1109/RADIOELEK.2015.7129001",
  isbn="978-1-4799-8117-5",
  url="https://ieeexplore.ieee.org/document/7129001"
}