Rotation Switching for Generating Multiplex Multiwing Hyperchaotic Hidden Attractors

The generation of multiplex-structure attractor mainly profits from the control of phase orbits in terms of location and orientation. It is an attractive but challenging task to implement trajectory control of stable-equilibrium-type hyperchaotic system to generate multiplex hidden attractors. This article presents a rotation switching scheme for generating multiplex multiwing hyperchaotic hidden attractors. First, a rotation transformation is applied to a single-stable-equilibrium hyperchaotic system to generate separate hidden attractors with arc-shaped, ring-shaped, and double-ring-shaped distributions. The rotation is linear operation and does not change the number and stability conditions of the equilibrium, which provides foundation for stringing together multiple separate units via multiangle switching. Consequently, multiplex multiwing hyperchaotic hidden attractors are generated under multilevel pulse excitation. A significant feature is that this method has certain flexibility in position and direction control of a seed attractor. Finally, hardware implementation using microcontroller-based platform verifies the feasibility of the designed system.