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arXiv · 1306.3098

On the essential hyperbolicity of sectional-Anosov flows

S. Bautista·C. A. Morales
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Abstract

We prove that every sectional-Anosov flow of a compact 3-manifold $M$ exhibits a finite collection of hyperbolic attractors and singularities whose basins form a dense subset of $M$. Applications to the dynamics of sectional-Anosov flows on compact 3-manifolds include a characterization of essential hyperbolicity, sensitivity to the initial conditions (improving \cite{ams}) and a relationship between the topology of the ambient manifold and the denseness of the basin of the singularities.

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S. Bautista, C. A. Morales. 2013-06-13. On the essential hyperbolicity of sectional-Anosov flows. https://arxiv.org/abs/1306.3098

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