2 papers
math.AP2020
Asymptotics of ODE's flow on the torus through a singleton condition and a perturbation result. Applications
Marc Briane, Loïc Hervé
This paper deals with the long time asymptotics X(t, x)/t of the flow X solution to the autonomous vector-valued ODE: X (t, x) = b(X(t, x)) for t R, with X(0, x) = x a point…
math.DS2019
Revisiting the asymptotics of the flow for some dynamical systems on the torus
Marc Briane, Loïc Hervé
In this paper we study the large time asymptotics of the flow of a dynamical system posed in the -dimensional torus. Rather than using the classical unique ergodicity…