One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications

We present a specific state variable for a class of fractional-order chaotic systems. By using a specific state variable and its (q-order, 2q-order, ..., and (n-1) q-order) time derivatives, all the state variables can be obtained. Several fractional-order chaotic systems are used to demonstrate this idea. A hybrid projective synchronization scheme is presented to show its applications.