A novel hyperchaotic system with corresponding multi-scroll system

In this paper, a new hyperchaotic system with a corresponding multi-scroll system is proposed. The system has a butterfly style which is more complex than other systems. The properties of the system are analyzed through dissipativity, equilibriums, Poincaré section, bifurcation diagram and the max Lyapunov exponent, and the system was analyzed for local Hopf bifurcation. An electronic circuit which can reacted in real electronic world verifies the existences of the attractor. The corresponding multi-scroll system is obtained through the fractal process. Based on Julia process, the four-wing phase portraits and Poincaré section are given. By constructing a nonlinear feedback controller according to Lyapunov stability theory, the synchronization of the new hyperchaotic system with the same structure dislocation projection is realized with different initial values.