1 citations · 1 across the 1 of their papers we have counts for
4 papers
Blender-producing mechanisms and a dichotomy for local dynamics for heterodimensional cycles
Dongchen Li
Blenders are special hyperbolic sets used to produce various robust dynamical phenomena which appear fragile at first glance. We prove for diffeomorphisms ($r=2,\dots,\infty,…
-robust homoclinic tangencies
Dongchen Li
The aim of this paper is twofold. First, we introduce standard blenders (special hyperbolic sets) and their variations, and prove their fundamental properties on the generation of…
Symplectic blenders near whiskered tori and persistence of saddle-center homoclinics
Dongchen Li, Dmitry Turaev
A blender is a hyperbolic basic set such that the projection of its stable/unstable set onto some center subspace has a higher topological dimension than the set itself. We prove t…
Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies
Dongchen Li, Xiaolong Li, Katsutoshi Shinohara +1
We establish a necessary and sufficient condition for the birth of heterodimensional cycles from a generic homoclinic tangency to a hyperbolic periodic orbit. We prove for ($…