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.
Recommended Citation
Wasike, Adu A.M. and Rotich, K.T.
(2007)
Synchronization and persistence in Diffusively Coupled Lattice Oscillators,
Sultan Qaboos University Journal For Science: Vol. 12:
Iss.
1, 41-52.
DOI: https://doi.org/10.24200/squjs.vol12iss1pp41-52
Available at:
https://squjs.squ.edu.om/squjs/vol12/iss1/1