Controlling Chaos using Differential Geometric Method with Delayed Variables

Differential geometric method with delayed variables is proposed to control chaotic systems to any desired periodic orbits. The delay time constant is chosen to be equal to the period of desired periodic orbits. The control can be achieved even with large noise; moreover, the converging speed of error is very fast. To demonstrate the feasibility of our proposed method, a Rössler system under different designed requirements is illustrated.