1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2024
Heterodimensional cycles of hyperbolic ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Katrin Gelfert
We introduce the concept of a heterodimensional cycle of hyperbolic ergodic measures and a special type of them that we call rich. Within a partially hyperbolic context, we prove t…
math.DS2016
What is ... a blender?
Christian Bonatti, Sylvain Crovisier, Lorenzo Diaz +1
What is a blender? In six illustrated pages we define the construction of a blender and the role it plays in the study of smooth dynamical systems.
math.DS2009★ 1 cited
Abundance of -robust homoclinic tangencies
C. Bonatti, L. J. Diaz
A diffeomorphism has a -robust homoclinic tangency if there is a -neighbourhood $\cU$ of such that every diffeomorphism in $g\in \cU$ has a hyperbolic set $\La_g$…