16 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
Ordinary differential equations defined by a trigonometric polynomial field: Behavior of the solutions
W Oukil
We consider the ordinary differential equations defined by a trigonometric polynomial field, we prove that any solution admits a "rotation vector" . More pre…
Invariant cone and synchronization state stability of the mean field models
W Oukil, Ph Thieullen, A Kessi
In this article we prove the stability of mean field systems as the Winfree model in the synchronized state. The model is governed by the coupling strength parameter and the na…
Synchronization in abstract mean field models
W Oukil
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.
Synchronization hypothesis in the Winfree model
W Oukil, A Kessi, Ph Thieullen
We consider oscillators coupled by a mean field as in the Winfree model. The model is governed by two parameters: the coupling strength and the spectrum width of the fr…