Time delay feedback control and chaotification of continuous dynamical systems

Time-delayed feedback has been introduced as a powerful tool for control of unstable periodic orbits or control of unstable steady states. This paper addresses control and chaotification of continuous chaotic systems using time feedback control. Regarding the delay and the gain as parameters, we investigate the effect of choice those two parameters on the dynamics of the system. We first, consider the effect of gain and delay, then give several numerical simulations, which indicate that for certain values of time delay, a stable periodic orbit is converted into chaotic behaviour.