Synchronization and persistence in diffusively coupled lattice oscillators

الملخص EN

We consider the synchronization and persistence of a system of identical lattice oscillators that are diffusely coupled to their nearest neighbors.

Each subsystem has a compact global attractor.

This is done in the framework of invariant manifold theory.

Normal hyperbolicity and its persistence are applied to obtain general conditions for the stability and robustness of the synchronization manifold.

AMS (MOS) Subject classifications : 37C 80, 37D10.