Synchronization in abstract mean field models

W Oukil (1)

1 USTHB - Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger]

We show in this paper a sufficient condition for the existence of solution, the synchronized and the periodic locked state in abstract mean field models or interconnected systems. This condition is true for a small perturbation independently of the number of oscillators. We show in addition a numerical example of linear mean field system.

Mots clés: Coupled oscillators; abstract mean field models; interconnected systems; synchronization; desynchronization; periodic orbit

Domaines: Systèmes dynamiques [math.DS]

W Oukil. Synchronization in abstract mean field models. 2017. ⟨hal-01493758v1⟩