On Sussmann theorem for orbits of sets of vector fields on Banach manifolds
Dynamical Systems
2011-11-28 v1
Abstract
The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]). 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.
Keywords
Cite
@article{arxiv.1111.5976,
title = {On Sussmann theorem for orbits of sets of vector fields on Banach manifolds},
author = {Arnauld Lathuille and Fernand Pelletier},
journal= {arXiv preprint arXiv:1111.5976},
year = {2011}
}