Detail publikačního výsledku

Simplest ODE Equivalents of Chuas Equations

POSPÍŠIL, J.; BRZOBOHATÝ, J.; KOLKA, Z.; HORSKÁ, J.

Originální název

Simplest ODE Equivalents of Chuas Equations

Anglický název

Simplest ODE Equivalents of Chuas Equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

The so-called elementary canonical state models of the third-order piecewise-linear (PWL) dynamical systems, as the simplest ODE's equivalents of Chuas equations, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chuas equa-tions and their canonical ODEs equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems. New geometrical aspects of the corresponding transformations to-gether with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.

Anglický abstrakt

The so-called elementary canonical state models of the third-order piecewise-linear (PWL) dynamical systems, as the simplest ODE's equivalents of Chuas equations, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chuas equa-tions and their canonical ODEs equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems. New geometrical aspects of the corresponding transformations to-gether with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.

Klíčová slova

Chaos, ODE, nonlinear systems

Klíčová slova v angličtině

Chaos, ODE, nonlinear systems

Autoři

POSPÍŠIL, J.; BRZOBOHATÝ, J.; KOLKA, Z.; HORSKÁ, J.

Rok RIV

2011

Vydáno

02.01.2003

ISSN

0218-1274

Periodikum

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Svazek

10

Číslo

1

Stát

Singapurská republika

Strany od

1

Strany počet

23

BibTex

@article{BUT43479,
  author="Jiří {Pospíšil} and Jaromír {Brzobohatý} and Zdeněk {Kolka} and Jana {Horská}",
  title="Simplest ODE Equivalents of Chuas Equations",
  journal="INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS",
  year="2003",
  volume="10",
  number="1",
  pages="23",
  issn="0218-1274"
}