Abundance of elliptic dynamics on conservative 3-flows
Dynamical Systems
2010-10-05 v1
Abstract
We consider a compact 3-dimensional boundaryless Riemannian manifold M and the set of divergence-free (or zero divergence) vector fields without singularities, then we prove that this set has a C1-residual such that any vector field inside it is Anosov or else its elliptical orbits are dense in the manifold M.
Keywords
Cite
@article{arxiv.0709.0700,
title = {Abundance of elliptic dynamics on conservative 3-flows},
author = {Mario Bessa and Pedro Duarte},
journal= {arXiv preprint arXiv:0709.0700},
year = {2010}
}