Stability and Persistence of Synchronization in a System with a Diffusive-Time-Lag Coupling

Abstract

We study synchronization in the framework of invariant manifold theory for systems with a time lag. Normal hyperbolicity and its persistence in infinite dimensional dynamical systems in Banach spaces is applied to give general results on synchronization and its stability.

Keywords

• Normal hyperbolicity
• Synchronization
• Robustness
• Lyapunov numbers.