Adu A. M. Wasike
School of Science and Information Sciences

Robustness Of Synchronization In A System With A Diffusive-Time-Lag Coupling

Lattice differential equations have been studied with a view of establishing their long time behavior. Normal Hyperbolicity has been used to establish conditions for stability and persistence of the synchronization manifold. In most cases, Lattice structures can take different topological structures depending on the nature of coupling. The degree of structural stability and persistence depends on the coupling configuration; whether it is all-to-all, coupling on a circle, or simple Bravis structure. We use Hausdorff measure to demontrate the robustness of these topological structures.