Dynamic coupling in small-world outer synchronization of chaotic networks

In this work, the problem of small-world outer synchronization of chaotic networks using a dynamic intermediary system is studied. The proposed dynamic coupling is applied to the small-world model of Newman and Watts, where the Chua’s chaotic circuit is used like node. Some scenarios are presented where comparative analyses are performed to determine the inner and outer coupling strengths necessary to achieve networks synchronization of both a static diffusive (direct) coupling and the proposed dynamic (indirect) coupling. The comparative analysis between the conventional coupling and the proposed dynamic coupling, which is applied to both the inner and outer synchronization of the studied networks, is carried out through the analysis of the maximum Lyapunov exponent of the generic variational equations.