Generation of Multiscroll Attractors by Controlling the Equilibria*

This work shows the generation of multi-scroll attractors in ℜ3 by controlling the equilibrium point of an unstable dissipative system. The switching control signal that governs the position of the equilibrium point changes according to the number of scrolls that is displayed in the attractor. Thus, if two systems display a different number of scrolls they have different control signals. The analysis of their Lyapunov exponents along with some bifurcation diagrams are presented. The possibility of hyper-chaos in ℜ3 is considered.