Intransitive sectional-Anosov flows on 3-manifolds

Abstract

For each $n\in {\mathbb{Z}}^{+}$, we show the existence of Venice masks (i.e. intransitive sectional-Anosov flows with dense periodic orbits) containing $n$ equilibria on certain compact 3-manifolds. These examples are characterized because of the maximal invariant set is a finite union of homoclinic classes. Here, the intersection between two different homoclinic classes is contained in the closure of the union of unstable manifolds of the singularities.

20 pages. arXiv admin note: text overlap with arXiv:1704.02045

References in corpus (1)

• On the intersection of sectional-hyperbolic sets