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

By adding a linear resistor R/sub 0/ 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 R/sub 0/ to 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 R/sup 3/. 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.<
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