Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators

Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators

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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 sound anchor adj2 the system into synchronized manifold and transversal manifold to estimate the value of the time lag for pom pom cupcake toppers which the stability of the system follows from that without a time lag.Each oscillator has a unique periodic solution that is attracting.