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As for chaotic systems with time-delay, different studies have been done on chaotic communication. However, complex Chen system with time-delay have not been investigated so far, although it has potential applications in many important fields. Therefore, we first explore the natures of complex Chen chaotic system with time-delay, and study its self-delay synchronization. Firstly, a complex Chen system with time delay is introduced, and its chaotic characteristics are analyzed. Secondly, according to the error feedback principle, the self-delay synchronization controller is designed. Finally, the validity of the controller is verified by mathematical proof and computer simulation. Simulation results show that the controller is simple and easy to be realized in practice. Keywords—complex chaotic system; time-delay; self-delay synchronization controller; lyapunov index

The Characteristics of Complex Chen CHAOTIC Systems with Time-delay and It’s Self-delay Synchronization Control