Publication detail

Analog implementations of dynamical systems with equilibria degenerated into plane objects

PETRŽELA, J. GUZAN, M.

Original Title

Analog implementations of dynamical systems with equilibria degenerated into plane objects

English Title

Analog implementations of dynamical systems with equilibria degenerated into plane objects

Type

conference paper

Language

en

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.

English 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

Released

27.06.2016

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

BibTex


@inproceedings{BUT126642,
  author="Jiří {Petržela} and Milan {Guzan}",
  title="Analog implementations of dynamical systems with equilibria degenerated into plane objects",
  annote="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.",
  address="UTKO FEKT VUT",
  booktitle="Proceedings of 39th International Conference TSP 2016",
  chapter="126642",
  doi="10.1109/TSP.2016.7760870",
  howpublished="electronic, physical medium",
  institution="UTKO FEKT VUT",
  year="2016",
  month="june",
  pages="243--249",
  publisher="UTKO FEKT VUT",
  type="conference paper"
}