26 citations · 151 across the 27 of their papers we have counts for
3 papers · 1 filter
Robust cycles and tangencies of large codimension
Pablo G. Barrientos, Artem Raibekas
We construct partially hyperbolic diffeomorphisms having semi-local robustly transitive sets with -robust cycles of any co-index. These constructions also provide a new method…
Heteroclinic cycles arising in generic unfoldings of nilpotent singularities
Pablo G. Barrientos, Santiago Ibáñez, J. Ángel Rodríguez
In this paper we study the existence of heteroclinic cycles in generic unfoldings of nilpotent singularities. Namely we prove that any nilpotent singularity of codimension four in…
On the chaos game of Iterated Function Systems
Pablo G. Barrientos, F. H. Ghane, Dominique Malicet +1
Every quasi-attractor of an iterated function system (IFS) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. B…