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math.DS2010★ 3 cited
Shadowing, expansiveness and stability of divergence-free vector fields
Célia Ferreira
Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions: 1. X is in the…
math.DS2010
Stability properties of divergence-free vector fields
Célia Ferreira
A divergence-free vector field satisfies the star property if any divergence-free vector field in some C1-neighborhood has all singularities and all periodic orbits hyperbolic. In…