Analysis of a novel four-wing hyperchaotic system from pseudo to real and circuit experimental research

In this thesis, a novel four-wing hyperchaotic system is constructed and proposed. In the process of investigating the dynamical characteristics of a four-dimensional (4D) hyperchaotic system, we observed that there are two double-wing chaotic attractors which appear dependent of the initial values coexisting in the system. In other words, the system has pseudo four-wing attractors. In order to generate real four-wing attractor, we introduce a linear term to the equation of the hyperchaotic system to construct a real four-wing hyperchaotic system. And the four-wing attractors are investigated through Poincaré mapping, Lyapunov exponents, and bifurcation diagram. Finally, we implement the four-wing attractor by numerical simulation and circuit experiment.