6 citations · 6 across the 2 of their papers we have counts for
2 papers
math.DS2026
Robust transitivity versus trapping regions for partially hyperbolic diffeomorphisms
Sylvain Crovisier, Rafael Potrie
We show that among partially hyperbolic diffeomorphisms with one dimensional center there is a -open and dense subset for which either there is a proper quasi-attractor or bot…
math.DS2010★ 6 cited
Internal perturbations of homoclinic classes:non-domination, cycles, and self-replication
Ch. Bonatti, S. Crovisier, L. J. Díaz +1
Conditions are provided under which lack of domination of a homoclinic class yields robust heterodimensional cycles. Moreover, so-called viral homoclinic classes are studied. Viral…