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arXiv · 0709.0700

Abundance of elliptic dynamics on conservative 3-flows

Mario Bessa·Pedro Duarte
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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.

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Mario Bessa, Pedro Duarte. 2007-09-05. Abundance of elliptic dynamics on conservative 3-flows. https://arxiv.org/abs/0709.0700

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