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This paper studies the synchronization between hyperchaotic complex-valued Lorenz system and hyperchaotic complex-valued Lü system via the methods of active control synchronization and modified projective lag synchronization.Based on Lyapunov stability theory, a nonlinear controller is designed to synchronize the hyperchaotic complex-valued attractors and control problem of these attractors is also studied.In addition, the modified projective lag synchronization of hyperchaotic complex-valued Lorenz and Lü systems is applied to secure communication.Finally, numerical simulations are given to verify the analytical approach.