78 citations · 288 across the 45 of their papers we have counts for
Showing 2011 · math.DSShow all
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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★ 1 cited
Wild Milnor attractors accumulated by lower dimensional dynamics
Rafael Potrie
We present new examples of open sets of diffeomorphisms such that a generic diffeomorphisms in those sets have no dynamically indecomposable attractors in the topological sense and…
math.DS2011
Recurrence of non-resonant homeomorphisms on the torus
Rafael Potrie
We prove that a homeomorphism of the torus homotopic to the identity whose rotation set is reduced to a single totally irrational vector is chain-recurrent. In fact, we show that p…