On Sussmann theorem for orbits of sets of vector fields on Banach manifolds

Details On Sussmann theorem for orbits of sets of vector fields on Banach manifolds On Sussmann theorem for orbits of sets of vector fields on Banach manifolds

2011-11-25

arxiv.org/abs/1111.5976v1

Mathematics

Dynamical Systems

Scientific paper

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.

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