On constructing complex grid multi-wing hyperchaotic system: Theoretical design and circuit implementation

This paper further investigates some novel methods for generating complex grid multi-wing hyperchaotic attractors from four-dimensional (4D) quadratic hyperchaotic systems, based on our previous works. First, a modified double-wing hyperchaotic Lu system by using non-uniform variable scaling transformation is obtained, and n-wing hyperchaotic system equipped with a duality-symmetric multi-segment quadratic function is also constructed. Then, by switching control in the z direction, mirror symmetry conversion and rotation transformation, three classes of n x m-wing hyperchaotic systems are respectively realized. Finally, two types of improved module-based circuits are designed for generating various grid multi-wing hyperchaotic attractors. One characteristic of the proposed approaches lies in their generality, which is also suitable for constructing 4D grid multi-wing hyperchaotic Lorenz and Chen systems. Both numerical simulation and circuit implementation have demonstrated the feasibility and effectiveness of the proposed approaches. Copyright (c) 2010 John Wiley & Sons, Ltd.