Asymptotic Theory of Synchronization of Chaotic Oscillations of Dynamic Systems with Dissipative Connections

Asymptotic theory of synchronization of chaotic oscillations of non-identical dynamic systems with dissipative connection is proposed. Various cases of the non-identity degree, when the synchronization is asymptotically close to the identical one, are considered for the dynamic systems and their connections. The theory covers both mutual and forced synchronization of systems including systems having slowly changing parameters. The general definition of synchronization and the integral variety method are assumed as a basis of the theory. Results of numerical experiment are given.