Pablo G. Barrientos

activity

20122026

most citedSymbolic blender-horseshoes and applications

26 citations · 151 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019★ 6 cited

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 $c > 0$ and homoclinic tangencies of arbitrary codimension $c > 0$ . These sets are known to…

math.DS2019★ 20 cited

Historic behavior in non-hyperbolic homoclinic classes

Pablo G. Barrientos, Shin Kiriki, Yushi Nakano +2

We show that $C^{1}$ -generically for diffeomorphisms of manifolds of dimension $d \geq 3$ , a homoclinic class containing saddles of different indices has a residual subset where the or…

math.DS2019

Robust Heteroclinic Tangencies

Pablo G. Barrientos, Sebastián A. Pérez

We construct diffeomorphisms in dimension $d \geq 2$ exhibiting $C^{1}$ -robust heteroclinic tangencies.