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arXiv · 1505.05758

Sectional Anosov flows: Existence of Venice masks with two singularities

A. M. López·H. M. Sánchez
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Abstract

We show the existence of Venice masks (i.e. nontransitive sectional Anosov flows with dense periodic orbits), containing two equilibria on certain compact 3-manifolds. Indeed, the only known examples of venice masks have one or three singularities, and they are characterized by having two properties: are the union non disjoint of two homoclinic classes and whose intersection is the closure of the unstable manifold of a singularity. Thus, we present two type of examples containing two equilibria in which the homoclinic classes composing their maximal invariant set intersect in a very different way.

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A. M. López, H. M. Sánchez. 2015-05-21. Sectional Anosov flows: Existence of Venice masks with two singularities. https://arxiv.org/abs/1505.05758

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