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PETRŽELA, J. GUZAN, M.
Original Title
Analog implementations of dynamical systems with equilibria degenerated into plane objects
Type
conference paper
Language
English
Original Abstract
This brief paper is focused on realization of chaotic system having some sort of equilibrium degeneration in the form of a lumped electronic circuit. Since only third-order dynamics is considered topological dimension of equilibrium structure equals one. Mathematical models are generalized into classes in order to construct universal analog network capable to model rich scale of associated dynamics. A necessary numerical analysis is provided and results are kept as the reference shapes for particular chaotic attractors. By referring to the best knowledge of the author’s real implementation of current-mode chaotic system with circular as well as elliptical equilibrium was not reported so far. Computer simulations are included in order to demonstrate chaotic motion.
Keywords
circuit synthesis; dynamical system; chaos; lumped network; nonlinear dynamics
Authors
PETRŽELA, J.; GUZAN, M.
Released
27. 6. 2016
Publisher
UTKO FEKT VUT
Location
Viden, Rakousko
ISBN
978-1-5090-1287-9
Book
Proceedings of 39th International Conference TSP 2016
Pages from
243
Pages to
249
Pages count
7
URL
https://ieeexplore.ieee.org/document/7760870
BibTex
@inproceedings{BUT126642, author="Jiří {Petržela} and Milan {Guzan}", title="Analog implementations of dynamical systems with equilibria degenerated into plane objects", booktitle="Proceedings of 39th International Conference TSP 2016", year="2016", pages="243--249", publisher="UTKO FEKT VUT", address="Viden, Rakousko", doi="10.1109/TSP.2016.7760870", isbn="978-1-5090-1287-9", url="https://ieeexplore.ieee.org/document/7760870" }