Complex modfied function projective synchronization of time-delay complex chaotic systems with known and unknown complex parameters

In this paper, the generalized complex modified hybrid function projective synchronization (GCMHFPS) of time-delay complex chaotic systems is studied. In previous general GCMHFPS schemes, the parameters of system were selected as known. There are also some reports about GCMHFPS with unknown parameter. However, these chaotic systems with synchronous schemes are mostly of the same dimension and do not contain time-delay. However, time-delay is very common in life. By constructing suitable complex Lyapunov function and adaptive complex update laws, the sufficient conditions for GCMHFPS implementation are given, and the corresponding calculation formula is given, and new estimate of unknown complex parameters are given. The feasibility of the scheme is verified by a simulation example.