38 citations · 131 across the 30 of their papers we have counts for
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math.DS2016★ 5 cited
Boundary crisis for degenerate singular cycles
Alexander Lohse, Alexandre Rodrigues
The term boundary crisis refers to the destruction or creation of a chaotic attractor when parameters vary. The locus of a boundary crisis may contain regions of positive Lebesgue…
math.DS2016★ 38 cited
On Takens' Last Problem: tangencies and time averages near heteroclinic networks
Isabel S. Labouriau, Alexandre A. P. Rodrigues
We obtain a structurally stable family of smooth ordinary differential equations exhibiting heteroclinic tangencies for a dense subset of parameters. We use this to find vector fie…