C. Bonatti

activity

20092026

most citedNon-hyperbolic ergodic measures with large support

36 citations · 100 across the 13 of their papers we have counts for

collaborators

Showing 2009 · math.DSShow all

2 papers · 2 filters

math.DS2009★ 1 cited

Abundance of $C^{1}$ -robust homoclinic tangencies

C. Bonatti, L. J. Diaz

A diffeomorphism $f$ has a $C^{1}$ -robust homoclinic tangency if there is a $C^{1}$ -neighbourhood $\cU$ of $f$ such that every diffeomorphism in $g\in \cU$ has a hyperbolic set $\La_g$…

math.DS2009★ 36 cited

Non-hyperbolic ergodic measures with large support

Ch. Bonatti, L. J. Diaz, A. Gorodetski

We prove that there is a residual subset $S$ in $Diff^{1} (M)$ such that, for every $f \in S$ , any homoclinic class of $f$ with invariant one dimensional cen…

Abundance of C1-robust homoclinic tangencies

Non-hyperbolic ergodic measures with large support

Abundance of $C^{1}$ -robust homoclinic tangencies