A Family of n-Scroll Attractors from a Generalized Chua's Circuit

Previously, n-double scroll attractors have been introduced by Suykens & Vandewalle. A generalized Chua's circuit was considered with additional breakpoints in the nonlinear characteristic. A piecewise-linear implementation and experimental confirmation has been given by Arena et al. In this paper we present a more complete family of n-scroll attractors generated from the latter circuit. The new family contains both an even and odd number of scrolls, while the previous work considered only an even number. A Lur'e representation of the generalized Chua's circuit is also given.