Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669209 | Bulletin des Sciences Mathématiques | 2012 | 38 Pages |
Abstract
The purpose of this paper is to give some generalizations, in the context of Banach manifolds, of Sussmannʼs results about the orbits of families of vector fields (Sussmann, 1973 [16]). Essentially, we define the notion of “l1-orbits” for any family of vector fields on a Banach manifold, and we prove, under appropriate assumptions, that such an orbit is a weak Banach submanifold.
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Physical Sciences and Engineering
Mathematics
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