Transition among synchronous schemes in coupled nonidentical multiple time delay systems

We present the transition among possible synchronous schemes in coupled nonidentical multiple time delay systems, i.e., lag, projective-lag, complete, anticipating and projective- anticipating synchronization. The number of nonlinear transforms in the master’s equation can be different from that in slave’s, and nonlinear transforms can be in various forms. The driving signal is the sum of nonlinearly transformed components of delayed state variable. Moreover, the equation representing for driving signal is constructed exactly so that the difference between the master’s and slave’s structures is complemented. The sufficient condition for synchronization is considered by the Krasovskii–Lyapunov theory. The specific examples will demonstrate and verify the effectiveness of the proposed models.