14 citations · 15 across the 2 of their papers we have counts for
5 papers
Berger domains and Kolmogorov typicality of infinitely many invariant circles
Pablo G. Barrientos, Artem Raibekas
Using the novel notion of parablender, P. Berger proved that the existence of finitely many attractors is not Kolmogorov typical in parametric families of diffeomorphisms. Here, mo…
Robust degenerate unfoldings of cycles and tangencies
Pablo G. Barrientos, Artem Raibekas
We construct open sets of degenerate unfoldings of heterodimensional cycles of any co-index and homoclinic tangencies of arbitrary codimension . These sets are known to…
Chaos near a reversible homoclinic bifocus
Pablo G. Barrientos, Artem Raibekas, Alexandre A. P. Rodrigues
We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on -symbols for all . This will be achie…
Robustly non-hyperbolic transitive symplectic dynamics
Pablo G. Barrientos, Artem Raibekas
We construct symplectomorphisms in dimension having a semi-local robustly transitive partially hyperbolic set containing -robust homoclinic tangencies of any codimen…
Robust tangencies of large codimension
Pablo G. Barrientos, Artem Raibekas
We construct -robust homoclinic and heterodimensional tangencies of large codimension inside transitive partially hyperbolic sets.