Noticeably, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general controller.
The proposed generalized combination complex synchronization will contain complex projective synchronization, combination synchronization, and combination complex synchronization.
This paper introduces a type of modified generalized projective synchronization with complex transformation matrix (CMGPS) for fractional-order complex chaos and real chaos with the same dimension and different structures.
Only in [20], Liu introduced modified hybrid projective synchronization with complex transformation matrix (CMHPS) for different dimensional fractional-order complex chaos and fractional-order real hyper-chaos.
In the practical applications, there does exist this type of synchronization, called modified generalized projective synchronization with complex transformation matrix (CMGPS).
In this paper, the definitions of modified generalized projective synchronization with complex transformation matrix (CMGPS) are introduced, where the drive and response systems could be asymptotically synchronized up to a desired complex transformation matrix, not a diagonal matrix.
Yang et al. [17] investigated the out synchronization with two complex dynamical networks of fractional-order chaotic nodes.
Also, the simulation of the complex chaotic synchronization was realized with the proposed adaptive transfer function method, so the rightness of this novel method was totally verified.
Algebraic connectivity applied to landscape-scale STMs provides a measure of the likelihood of complex response, with synchronization inversely related to complex response.
In this paper, complex hybrid synchronization of network coupled with complex-variable chaotic systems is investigated.
Therefore, the combination synchronization with regard to the function scaling matrices, referred as the function combination synchronization, will be made the further research about three chaotic complex systems.
