12 citations · 21 across the 6 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.DS2016★ 1 cited
Hedgehogs in higher dimensions and their applications
Mikhail Lyubich, Remus Radu, Raluca Tanase
In this paper we study the dynamics of germs of holomorphic diffeomorphisms of with a fixed point at the origin with exactly one neutral eigenvalue. We prove t…
math.DS2016★ 6 cited
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of
Tanya Firsova, Mikhail Lyubich, Remus Radu +1
We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of with a semi-neutral fixed point at the origin, using topological technique…
math.DS2016
Renormalization and Siegel disks for complex Hénon maps
Denis Gaidashev, Remus Radu, Michael Yampolsky
We use hyperbolicity of golden-mean renormalization of dissipative Hénon-like maps to prove that the boundaries of Siegel disks of sufficiently dissipative quadratic complex Hénon…