3D Grid Multi-Wing Chaotic Attractors

As reported in the existing literature, wing attractors are confined to 1D n-wing attractors, 2D n x m-grid wing attractors. In this paper, we break this limitation and generate 3D n x m x l-grid multi-wing chaotic attractors (GMWCAs). The 3D GMWCAs are produced via the following three steps: (1) applying rotation transformation to a double-wing Lorenz-like system to ensure that its saddle-focus equilibria with index 2 are located on the plane y = 0; (2) extending the wing attractors of the transformed Lorenz-like system along the x-axis to have mirror symmetry; (3) introducing stair switching functions to increase the number of saddle-focus equilibria with index 2 along the y-axis and z-axis. Furthermore, some basic dynamical properties of the 3D chaotic system, including equilibria, symmetry, dissipativity, Lyapunov exponents and bifurcation diagram, are investigated and a module-based unified circuit diagram is designed. The effectiveness of this approach is confirmed by both numerical simulations and electrical circuit experiment.