Synchronization of Discrete Chaotic Dynamical Systems Using Active Control

In this paper, both synchronization and generalized synchronization of two discrete chaotic dynamical systems are studied using active control. Specially, for maps operating under non-identical parameter, we validated that the dynamics of the response system can be converted from chaotic to periodic, from periodic to chaotic, and from one chaotic to the other by appropriately choosing the target state (dynamics of the drive system). Furthermore, the three different chaos synchronization phenomena (exact synchronization, practical synchronization and almost synchronization) are achieved in two identical Logistic systems and non-identical logistic systems respectively.