Simple State Models of Dynamical Systems OF CLASS C.

Simple State Models of Dynamical Systems OF CLASS C.

Paper in proceedings (conference paper)

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.

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.

chaos

chaos

POSPÍŠIL, J.

01.08.2001

VUT Brno

Brno

Proc. of scientific conference “Nové trendy ve fyzice”

10

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