4 papers
math.GM2021
Bounded Solutions of a Complex Differential Equation for the Riemann Hypothesis
Walid Oukil
In this manuscript, we consider the Riemann zeta function , defined through the Abel summation formula. We present a simple analytical method based on a complex differential equ…
math.DS2019
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…
math.DS2018
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…
math.DS2017
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.