Controlling hyperchaos of the Rossler system

A feedback control is designed to regulate the hyperchaotic behaviour of th e Rossler oscillator. Two inputs are added to the system for the control wh ere each of the inputs contains two portions of feedback. One of the feedba ck parts is to construct an equilibrium manifold by modifying the dynamics of the system, while the other is the proportional feedback part which will control the hyperchaotic state to desired states on the manifold. In the d esign, the desired states include fixed points as well as limit cycles. Som e numerical experiments are presented to perform the control. As expected, and also verified by the numerical results, the hyperchaotic system can be well tracked to the desired state by the present design. Furthermore, the s ettling times of the tracking can be improved by increasing the proportiona l gains of the control.