15 citations · 46 across the 15 of their papers we have counts for
7 papers · 1 filter
Hyperbolicity of complements of orbits in Anosov flows
Sergio Fenley, Tali Pinsky, Mario Shannon
We show that if an Anosov flow on a 3-dimensional manifold has orientable stable and unstable foliations, then the complement of any filling periodic orbit is a hyperbolic manifold…
New Anosov flows via bicontact structures
Tali Pinsky, Federico Salmoiraghi
We present a new approach to hyperbolic plugs, via a construction of bicontact plugs on 3-manifolds with boundary that are surface bundles over the circle. The boundary components…
Analytical study of The Lorenz system: existence of infinitely many periodic orbits and their topological characterization
Tali Pinsky
We consider the Lorenz equations, a system of three dimensional ordinary differential equations modeling atmospheric convection. These equations are chaotic and hard to study even…
Graph manifolds that admit arbitrarily many Anosov flows
Adam Clay, Tali Pinsky
For each natural number n, we construct an example of a graph manifold supporting at least n different Anosov flows that are not orbit equivalent. Our construction is reminiscent o…
Lorenz attractors and the modular surface
Christian Bonatti, Tali Pinsky
We define an extension of the geometric Lorenz model, defined on the three sphere. This geometric model has an invariant one dimensional trefoil knot, a union of invariant manifold…
On the topology of the Lorenz system
Tali Pinsky
We present a new paradigm for three dimensional chaos, and specifically for the Lorenz equations. The main difficulty in these equations and for a generic flow in dimension three i…
Templates for geodesic flows
Tali Pinsky
The fact that the modular template coincides with the Lorenz template, discovered by Ghys, implies modular knots have very peculiar properties. We obtain a generalization of these…