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PETRŽELA, J.
Original Title
Experimental Confirmation of Chaos in Dynamical Systems with Line Equilibirum
Type
conference paper
Language
English
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.
Keywords
analogue oscillator, circuit synthesis, chaos, line equilibria, nonlinear dynamics
Authors
RIV year
2015
Released
21. 4. 2015
Location
Pardubice
ISBN
978-1-4799-8117-5
Book
25th Conference Radioelektronika 2015
NEUVEDENO
Pages from
51
Pages to
55
Pages count
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" }