Elementary canonical state models of Chua's circuit family

Two simple state models of the third-order autonomous piecewise-linear (PWL) dynamical system, topologically conjugate to Chua's circuit family, are proposed. Unlike the known canonical systems they are canonical also with respect to the relation between their parameters and the corresponding eigenvalues, i.e., their state equations contain minimum nonzero coefficients directly determined by the equivalent eigenvalue parameters associated with the two regions of PWL vector field in R/sup 3/. The corresponding circuit models containing integrators and adders are introduced. The mutual linear conjugacy between these two elementary canonical state models and their relation with Chua's circuit family is suggested. The computer generated chaos for the double-scroll attractor using one of the developed models is shown.