A family of n-scroll hyperchaotic attractors and their realization

A systematic circuit design approach is proposed for experimental verification of hyperchaotic 2-, 3-, 4-scroll attractors from a generalized Matsumoto-Chua-Kobayashi (MCK) circuit. Moreover, using appropriate discrete and extended transformations, a novel digital signal processor (DSP) method is also presented for physically realizing the above hyperchaotic 2-, 3-, 4-scroll attractors. This is the first time in the literature to report the experimental verification of hyperchaotic 3- and 4-scroll attractors. Some recursive formulas of system parameters are rigorously derived, useful for improving circuit implementation. © 2006 Elsevier B.V. All rights reserved.