38 citations · 309 across the 47 of their papers we have counts for
54 papers
Upper, down, two-sided Lorenz attractor, collisions, merging and switching
Diego Barros, Christian Bonatti, Maria Jose Pacifico
We present a slightly modified version of the well known "geometric Lorenz attractor". It consists in a C1 open set O of vector fields in R3 having an attracting region U containin…
Anosov flows on -manifolds: the surgeries and the foliations
Christian Bonatti, Ioannis Iakovoglou
To any Anosov flow X on a 3-manifold Fe1 associated a bi-foliated plane (a plane endowed with two transverse foliations Fs and Fu) which reflects the normal structure of the flow e…
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…
Small actions of semidirect products on compact manifolds
Christian Bonatti, Sang-hyun Kim, Thomas Koberda +1
Let be a compact fibered --manifold, presented as a mapping torus of a compact, orientable surface with monodromy , and let be a compact Riemannian manifold. Our…
Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
Christian Bonatti, Jinhua Zhang
In this paper, we study transitive partially hyperbolic diffeomorphisms with one-dimensional topologically neutral center, meaning that the length of the iterate of small center se…
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support
Christian Bonatti, Lorenzo J. Díaz, Dominik Kwietniak
We prove that for some manifolds the set of robustly transitive partially hyperbolic diffeomorphisms of with one-dimensional nonhyperbolic centre direction contains a …