A New Three-Dimensional Autonomous Chaotic System with a Pair of Diagonal Double-Wing Attractor and Its Circuit Realization

Abstract

A new 3D quadratic autonomous chaotic system is reported in this paper, which contains five system parameters and three quadratic cross-product terms, and the system can generate a pair of coexisting diagonal double-wing chaotic attractors with wide parameters ranges. Some basic dynamical behaviors of the new chaotic system are investigated. The Hopf bifurcation process is proved to arise at certain equilibrium points through the detailed bifurcation analysis. The simulation analysis shows that the system has many interesting dynamical behaviors. Finally, an analog electronic circuit is designed to physically realize the chaotic system, and the corresponding chaotic attractor is observed in oscilloscope. The existence of the chaotic attractor is verified by the analog circuit realization. For its complex dynamical behavior, the proposed system is useful in secure communication.