z-logo
open-access-imgOpen Access
SIMPLEST ODE EQUIVALENTS OF CHUA'S EQUATIONS
Author(s) -
Jiří Pospíšil,
Zdeněk Kolka,
J. Horska,
J. Brzobohatý
Publication year - 2000
Publication title -
international journal of bifurcation and chaos
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.761
H-Index - 103
eISSN - 1793-6551
pISSN - 0218-1274
DOI - 10.1142/s0218127400000025
Subject(s) - ode , mathematics , dynamical systems theory , topological conjugacy , attractor , conjugacy class , chaotic , piecewise linear function , dynamical system (definition) , canonical form , pure mathematics , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence
The so-called elementary canonical state models of the third-order piecewise-linear (PWL) dynamical systems, 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. 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 content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom