A zoo of strange attractors from the canonical Chua´s circuits

By adding a linear resistor R₀ in Chua´s circuit, an immensely richer bifurcation landscape can be obtained, including an endowment of more than 20 new distinct strange attractors which were suppressed when R₀→0. The author interprets this augmented circuit as a global unfolding of Chua´s circuit because its basic mechanism is similar to the local unfolding theory in nonlinear mathematics. This augmented Chua´s circuit, which has only seven parameters, is canonical in the sense that it is capable of duplicating all qualitative behaviors of a 21-parameter family C of ordinary differential equations in R³. Explicit formulas are given for calculating the seven circuit parameters of the augmented Chua´s circuit so that it is topologically conjugate to any member of this 21-parameter family of third-order piecewise-linear circuits; namely, the Chua´s circuit family. A gallery of selected strange attractors from this canonical circuit is presented