Abstract:
ABSTRACT: We consider a lattice system of identical oscillators that are all coupled to one
another with a diffusive coupling that has a time lag. We use the natural splitting of the system
into synchronized manifold and transversal manifold to estimate the value of the time lag for
which the stability of the system follows from that without a time lag. Each oscillator has a
unique periodic solution that is attracting.
KEYWORDS: Exponential stability, Time lag, Gronwall's Inequality.
