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math.DS2024
Slow-fast systems in infinite measure, with or without averaging
Maxence Phalempin
This paper studies the asymptotic behaviour of the solution of a differential equation perturbed by a fast flow preserving an infinite measure. This question is related with limit…
math.DS2024
Averaging theorems for slow fast systems in -extensions (discrete time)
Maxence Phalempin
We study the averaging method for flows perturbed by a dynamical system preserving an infinite measure. Motivated by the case of perturbation by the collision dynamic on the finite…