Synchronization of Coupled Nonidentical Dynamical Systems

Synchronization behavior of coupled dynamical systems is discussed. An equivalence relation is found between the diffeomorphic generalized synchronization and the complete synchronization of coupled nonidentical systems. Employing the method of the complete synchronization, the problem of the generalized synchronization can be unraveled. By constructing an appropriate coupling term, a sufficient condition is obtained for determining the complete synchronization of coupled nonidentical systems. Numerical simulations are also given to show the effectiveness of the proposed schemes.