A Novel 3-D Chaotic System with Line Equilibrium: Dynamical Analysis and Synchronization. (July 2019) - Tlelo-Cuautle, E
Abstract: A 3-D new chaotic system with three nonlinearities is proposed in this paper. We show that the new chaotic system consists of equilibrium points on the z-axis (line equilibrium) as well as two equilibrium points on the (x, y)-plane. Thus, the new chaotic system has hidden attractors. The dynamical properties of the new chaotic system are explored in terms of 2-D phase plots, bifurcation diagram, Lyapunov exponents, and offset-boosting control. Numerical results show that the proposed scheme has an excellent performance