Chapter 6 - A new 5-D hyperchaotic four-wing system with multistability and hidden attractor, its backstepping control, and circuit simulation

Abstract

In this research work, we build a new 5D hyperchaos four-wing system with three quadratic nonlinear terms. Since the new 5D system has no rest point, it has hidden attractor. It is shown that the new 5D hyperchaos four-wing system has multistability with coexisting hyperchaos attractors. Using the backstepping control method, we achieve global hyperchaos stabilization and synchronization for the new 5D hyperchaos four-wing system. Finally, using Multisim, we build an electronic circuit model realizing the 5D hyperchaos four-wing system. Electronic circuit design of the new 5D hyperchaos four-wing system enables practical implementation of the proposed hyperchaos system.