General hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameters identification in several chaotic and hyperchaotic systems

According to the Lyapunov stability theorem, a new scheme of general hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameters identification is proposed under the framework of drive-response systems. Every state variable of the response system equals the summation of hybrid drive systems in the previous hybrid synchronization, however, every state variable of the drive system equals the summation of hybrid response systems while evolving with time in our method. Complete synchronization, hybrid dislocated synchronization, projective synchronization, non-derivative and derivative coupling, and parameters identification are included as its special item. Lorenz chaotic system, Rössler chaotic system, the memristor chaotic oscillator system, and hyperchaotic Lü system are discussed to show the effectiveness of the proposed methods.