2 papers
math.DS2022
Universality but no rigidity for two-dimensional perturbations of almost commuting pairs
D. Gaidashev, D. Lilja
In this paper we consider two-dimensional dissipative maps of the annulus which are small perturbations of one-dimensional critical circle maps. It has been shown earlier that such…
math.DS2018
On the geometry of period doubling invariant sets for area-preserving maps
Denis Gaidashev, Dan Lilja
The geometry of the period doubling Cantor sets of strongly dissipative infinitely renormalizable Hénon-like maps has been shown to be unbounded by M. Lyubich, M. Martens and A. de…