The Averaging Homotopy - Mines Paris Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2013

The Averaging Homotopy

François Chaplais


Classical averaging is an asymptotic theory in the sense that it con- siders the problem of finding a limit for a sequence of differential systems. We present here another formulation that is based on an homotopy be- tween any two vectorfields. This formulation accounts both for classical averaging and for regular perturbations. It can also be used to justify the use of numerical windowed averaging schemes without any asymptotic imbedding.
Fichier principal
Vignette du fichier
Averaging2.pdf (360.19 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00818268 , version 1 (26-04-2013)


  • HAL Id : hal-00818268 , version 1


François Chaplais. The Averaging Homotopy. 2013. ⟨hal-00818268⟩
155 Consultations
104 Téléchargements


Gmail Facebook X LinkedIn More