A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomoussystem

This paper presents a new 3D quadratic autonomous chaotic system which contains five system parameters and three quadraticcross-product terms, and the system can generate a single four-wing chaotic attractor with wide parameter ranges. Throughtheoretical analysis, the Hopf bifurcation processes are proved to arise at certain equilibrium points. Numerical bifurcation analysis shows that the system has many interesting complex dynamical behaviours; the system trajectory can evolve to a chaotic attractor from a periodic orbit or a fixed point as the proper parameter varies. Finally, an analog electronic circuit is designed to physically realize the chaotic system; the existence of four-wing chaotic attractor is verified by the analog circuit realization.