Publication detail

Dynamical Systems of Class C and Their Simple State Models.

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

Original Title

Dynamical Systems of Class C and Their Simple State Models.

English Title

Dynamical Systems of Class C and Their Simple State Models.

Type

conference paper

Language

en

Original Abstract

The so-called elementary canonical state models of the third-order piecewise-linear (PWL) dynamical systems belonging to Class C, as the simplest ODE equivalents of Chua's equations, 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 ODE equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems of 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 (PWL) dynamical systems belonging to Class C, as the simplest ODE equivalents of Chua's equations, 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 ODE equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems of 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

11.06.2001

Location

Brno

ISBN

80-214-1780-3

Book

Proc.of the EDS’00

Pages from

23

Pages to

54

Pages count

32

BibTex


@inproceedings{BUT3779,
  author="Jiří {Pospíšil} and Zdeněk {Kolka} and Jaromír {Brzobohatý} and Václav {Michálek}",
  title="Dynamical Systems of Class C and Their Simple State Models.",
  annote="The so-called elementary canonical state models of the third-order piecewise-linear (PWL) dynamical systems belonging to Class C, as the simplest ODE equivalents of Chua's equations, 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 ODE equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems of 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 EDS’00",
  chapter="3779",
  year="2001",
  month="june",
  pages="23",
  type="conference paper"
}