26 citations · 151 across the 27 of their papers we have counts for
6 papers · 1 filter
Homoclinic tangencies leading to robust heterodimensional cycles
Pablo G. Barrientos, Lorenzo J. Díaz, Sebastián A. Pérez
We consider () diffeomorphisms defined on manifolds of dimension with homoclinic tangencies associated to saddles. Under generic properties, w…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…
Historic wandering domains near cycles
Pablo G. Barrientos
We explain how to obtain non-trivial historic contractive wandering domains for a dense set of diffeomorphisms in certain type of -Newhouse domains of homoclinic tangencies in…
Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems
Pablo G. Barrientos, Yushi Nakano, Artem Raibekas +1
We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some…
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…
Typical coexistence of infinitely many strange attractors
Pablo G. Barrientos, Juan David Rojas
We prove that the coexistence of infinitely many prevalent Hénon-like phenomena is Kolmogorov typical in sectional dissipative -Berger domains of parameter families of dif…