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20062023
most citedBuilding Anosov flows on 3-manifolds

38 citations · 47 across the 13 of their papers we have counts for

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8 papers · 1 filter

math.DS2023

The indexed links of Non-singular Morse-Smale flows on graph manifolds

Fangfang Chen, Bin Yu

We classify the indexed links corresponding to the union of the closed orbits of non-singular Morse-Smale flows on most graph manifolds. We find that each of this kind of indexed l…

math.DS2021★ 1 cited

Anosov flows on Dehn surgeries on the figure-eight knot

Bin Yu

The purpose of this paper is to classify Anosov flows on the 3-manifolds obtained by Dehn surgeries on the figure-eight knot. This set of 3-manifolds is denoted by M(r) (r is a rat…

math.DS2020★ 1 cited

Classifying expanding attractors on figure eight knot complement space and non-transitive Anosov flows on Franks-Williams manifold

Jiagang Yang, Bin Yu

The path closure of figure eight knot complement space, , supports a natural DA (derived from Anosov) expanding attractor. Using this attractor, Franks-Williams constructed th…

math.DS2019★ 4 cited

A uniqueness theorem for transitive Anosov flows obtained by gluing hyperbolic plugs

Francois Beguin, Bin Yu

In a previous paper with C. Bonatti ([5]), we have defined a general procedure to build new examples of Anosov flows in dimension 3. The procedure consists in gluing together some…

math.DS2014★ 38 cited

Building Anosov flows on 3-manifolds

François Béguin, Bin Yu, Christian Bonatti

We prove a result allowing to build (transitive or non-transitive) Anosov flows on 3-manifolds by gluing together filtrating neighborhoods of hyperbolic sets. We give several appli…

math.DS2013★ 1 cited

Depth Nonsingular Morse Smale flows on

Bin Yu

In this paper, we first develope the concept of Lyapunov graph to weighted Lyapunov graph (abbreviated as WLG) for nonsingular Morse-Smale flows (abbreviated as NMS flows) on …