Abundance of elliptic dynamics on conservative 3-flows

Details Abundance of elliptic dynamics on conservative 3-flows Abundance of elliptic dynamics on conservative 3-flows

2007-09-05

arxiv.org/abs/0709.0700v1

Dynamical Systems - An international Journal, Vol 23, n{\deg} 4, 409-424, 2008

Mathematics

Dynamical Systems

Scientific paper

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.

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