Generating variable number of wings from a novel four-dimensional hyperchaotic system with one equilibrium

In this paper, a novel four-dimensional smooth system is presented. What particularly interests us is that the novel multi-wing chaotic system has only one equilibrium point at the origin. Furthermore, the strange phenomenon that different chaotic attractors such as the two-wing, three-wing chaotic attractors and four-wing hyperchaotic attractor could be generated by changing a single system parameter makes this system unique. By applying either analytical or numerical methods, basic properties of the system such as phase portraits, Poincaré mapping, bifurcation diagram and Lyapunov exponents are investigated to observe chaotic motions. The physical existences of the multi-wing chaotic attractors are verified by an electronic circuit.