Abstract:
ABSTRACT: We consider the synchronization and persistence of a system of identical lattice
oscillators that are diffusively coupled to their nearest neighbours. 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: 37C80, 37D10.
KEYWORDS: Lattice oscillators, bravais lattice, synchronization manifold, robustness.
