A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback

This letter presents a new hyper-chaotic system, which can display complex changes from hyper-chaos to chaos, and then to periodic orbits. The system is obtained by adding a nonlinear controller to the second equation of the three-dimensional autonomous Generalized Lorenz chaotic system. The basic dynamical behavior of the system is not only demonstrated by computer simulations but also verified with bifurcation analysis.