Generalised synchronisation of chaotic dynamical systems

In this paper we consider the new type of generalised synchronisation of chaotic dynami- cal systems for different dimensional. This new technique to chaos synchronisation a network of dynamical systems described by second ordinary differential equations which is flexible and works in any dimension. Among others research work regarding synchronisation our method is robust which means that a small synchronisation error is preserved at steady-state, even if the sys- tems were perturbed by external disturbances. Based on stability property of integer-order linear dynamical systems and Lyapunov stability theory, effective control schemes are introduced and new synchronisation criterions are derived. At the end of this research work several numerical simulations are used to proving the effectiveness of the proposed schemes and mentioned syn- chronisation technique which is comparable with the analytic results