38 citations · 309 across the 47 of their papers we have counts for
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math.DS2011★ 3 cited
Tame dynamics and robust transitivity
Christian Bonatti, Sylvain Crovisier, Nicolas Gourmelon +1
One main task of smooth dynamical systems consists in finding a good decomposition into elementary pieces of the dynamics. This paper contributes to the study of chain-recurrence c…
math.DS2011★ 3 cited
Dominated chain recurrent class with singularities
Christian Bonatti, Shaobo Gan, Dawei Yang
We prove that for generic three-dimensional vector fields, domination implies singular hyperbolicity.
math.DS2011
Fragile cycles
Christian Bonatti, Lorenzo J. Diaz
We study diffeomorphisms with heterodimensional cycles, that is, heteroclinic cycles associated to saddles and with different indices. Such a cycle is called fragile if…