Generalized projective synchronization of an array of non-identical coupled chaotic systems

This paper considers the generalized projective synchronization problem for an array of non-identical coupled chaotic systems with ring connections. By using the direct design method, the control laws, which transform the error system into a nonlinear system with special antisymmetric structure, are designed to realize the generalized projective synchronization. Some simple stability criteria are then derived for reaching the transmission projective synchronization among multi-systems. It is proved that these criteria not only are easily verified, but also improve and generalize previously known results. Numerical examples are presented to verify the effectiveness and correctness of the synchronization within a desired scaling factor. For the multi-systems synchronization model, it seems to have more valuable than the usual one drive system and one response system synchronization model.