The synchronization of chaotic systems applying the parallel synchronization method

In this paper, we present a novel synchronization method for chaotic systems-the so-called parallel synchronization method. The proposed technique provides a condition whereby an optimal control problem can be applied in order to achieve active control whenever we use an active control strategy for synchronization. In this way, by transforming the synchronization problem to an optimal control problem, we can define an appropriate error function such that by minimizing it while the active control is obtained, the synchronization error approaches zero. Some different chaotic systems are considered for synchronization, and the numerical simulations are presented graphically to confirm the validity of the proposed method.