3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DS2026
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…
math.DS2022★ 3 cited
Universal bifurcation patterns in the unfolding of a pair of homoclinic tangencies
Sergey Gonchenko, Dongchen Li, Dmitry Turaev
We study generic two- and three-parameter unfoldings of a pair of orbits of quadratic homoclinic tangency in strongly dissipative systems. We prove that the corresponding stability…