most citedHénon-like families and blender-horseshoes at non-transverse heterodimensional cycles

7 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2020

Nontransverse heterodimensional cycles: stabilisation and robust tangencies

Lorenzo J. Díaz, Sebastián A. Pérez

We consider three-dimensional diffeomorphisms having simultaneously heterodimensional cycles and heterodimensional tangencies associated to saddle-foci. These cycles lead to a comp…

math.DS2018★ 7 cited

Hénon-like families and blender-horseshoes at non-transverse heterodimensional cycles

Lorenzo J. Díaz, Sebastián A. Pérez

In dimension three and under certain regularity assumptions, we construct a renormalisation scheme at the heterodimensional tangency of a non-transverse heterodimensional cycle ass…