Publication detail

State Models of Class C Dynamical Systems and Their Optimization.

POSPÍŠIL, J., HANUS, S., MICHÁLEK, V., KOLKA, Z., BRZOBOHATÝ, J.

Original Title

State Models of Class C Dynamical Systems and Their Optimization.

English Title

State Models of Class C Dynamical Systems and Their Optimization.

Type

conference paper

Language

en

Original Abstract

The so-called elementary canonical state models of the third-order piecewise-linear dynamical systems, as the simplest state models qualitatively equivalent to the well known Chua's circuit family, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chua’s equations and their canonical state model equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems belonging to Class C. New geometrical aspects of the corresponding transformations together with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.

English abstract

The so-called elementary canonical state models of the third-order piecewise-linear dynamical systems, as the simplest state models qualitatively equivalent to the well known Chua's circuit family, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chua’s equations and their canonical state model equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems belonging to Class C. New geometrical aspects of the corresponding transformations together with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.

Keywords

chaos

RIV year

2001

Released

05.06.2001

Location

Liptovský Mikuláš

ISBN

80-8040-159-4

Book

Proc. of the KIT’2001

Pages from

212

Pages to

214

Pages count

3

BibTex


@inproceedings{BUT3774,
  author="Jiří {Pospíšil} and Stanislav {Hanus} and Václav {Michálek} and Zdeněk {Kolka} and Jaromír {Brzobohatý}",
  title="State Models of Class C Dynamical Systems and Their Optimization.",
  annote="The so-called elementary canonical state models of the third-order piecewise-linear dynamical systems, as the simplest state models qualitatively equivalent to the well known Chua's circuit family, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chua’s equations and their canonical state model equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems belonging to Class C. New geometrical aspects of the corresponding transformations together with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.",
  booktitle="Proc. of the KIT’2001",
  chapter="3774",
  year="2001",
  month="june",
  pages="212",
  type="conference paper"
}