Switching among three different kinds of synchronization for delay chaotic systems

We found that the complete synchronization, anticipating synchronization and lag synchronization can be reached by the same kind of one way coupling for a large class of chaotic delay system. By changing the transformation time of the coupling signal we can switch from anticipating synchronization to complete synchronization, and then to lag synchronization. Numerical simulation for three chaotic delay systems were presented, one of them was novel which had two degree of freedoms, and the other two were the well known Ikeda and Mackey–Glass system which are one degree of freedom chaotic delay system. The theoretical analysis and the numerical simulation agreed perfect good.