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math.AP2021
Specific properties of the ODE's flow in dimension two versus dimension three
Marc Briane, Loïc Hervé
This paper deals with the asymptotics of the ODE's flow induced by a regular vector field b on the d-dimensional torus R d /Z d. First, we start by revisiting the Franks-Misiurewic…
math.AP2021
Asymptotics of ODE's flows everywhere or almost-everywhere in the torus:from rotation sets to homogenization of transport equations
Marc Briane, Loïc Hervé
In this paper, we study various aspects of the ODE's flow solution to the equation , in the -dimensional torus , where is a…