A constructional method for generalized synchronization of coupled time-delay chaotic systems

A constructional method for detecting the existence and determining the functional relationship of generalized synchronization is introduced in this paper. Based on the stability theory of fixed points of dynamical systems, we show theoretically and numerically that an appropriate coupling scheme allows us to find the synchronization functional relationship between the states of coupled time-delay chaotic systems. On the other hand, given a synchronization function, this approach may help us to design the coupling scheme. To demonstrate the proposed method, Ikeda system is presented as an example.