Simplest ODE equivalents of Chua's equations

The so-called elementary canonical state models of the third-order piecewis e-linear (PWL) dynamical systems, as the simplest ODE equivalents of Chua's equations, are presented. Their mutual relations using the linear topologi cal conjugacy are demonstrated in order to show in detail that Chua's equat ions and their canonical ODE equivalents represent various forms of qualita tively equivalent models of third-order dynamical systems. New geometrical aspects of the corresponding transformations together with examples of typi cal chaotic attractors in the stereoscopic view, give the possibility of a deeper insight into the third-order system dynamics.