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POSPÍŠIL, J. BRZOBOHATÝ, J. KOLKA, Z. HORSKÁ, J.
Original Title
Simplest ODE Equivalents of Chuas Equations
Type
journal article - other
Language
English
Original Abstract
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.
Keywords
Chaos, ODE, nonlinear systems
Authors
POSPÍŠIL, J.; BRZOBOHATÝ, J.; KOLKA, Z.; HORSKÁ, J.
Released
2. 1. 2003
ISBN
0218-1274
Periodical
International Journal of Bifurcations & Chaos
Year of study
10
Number
1
State
Republic of Singapore
Pages from
Pages to
23
Pages count
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 Bifurcations & Chaos", year="2003", volume="10", number="1", pages="23", issn="0218-1274" }