The Generation of a New Hyperchaotic System via State Feedback Control

In this paper, a new hyperchaotic system, which is obtained by adding a linear controller to the second equation of the three dimensional autonomous modified Lorenz chaotic system is presented. The hyperchaotic system undergoes a change from hyperchaos to limit cycle when the parameter varies. Some detailed dynamical behaviors of the new hyperchaotic system are investigated. The new hyperchaos is not only demonstrated by numerical simulation, but also verified with bifurcation analysis. Various attractors are also illustrated by realization of an electronic circuit.