A New Four-Wing Hyper-chaotic Attractor and Its Circuit Implementation

Abstract

This paper presents a new four dimensional autonomous hyper-chaotic system which contains four quadratic terms and five system parameters. The proposed system has complex dynamical behaviors, can generate a four-wing hyper-chaotic attractor with proper parameters ranges. The theoretical analysis and numerical analysis demonstrate that a Hopf bifurcation arises at zero equilibrium point. Finally, an electronic circuit is designed to implement the proposed system, and circuit experimental results are in agreement with the numerical simulations, which verifies the existence of the four-wing hyper-chaotic attractor.