On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder

Qinbo Chen, Danijela Damjanović, Boris Petković

Let $\mathcal{F}$ and $\mathcal{K}$ be commuting $C^{\infty }$ diffeomorphisms of the cylinder $\mathbb{T}\times \mathbb{R}$ that are, respectively, close to $\mathcal{F}_0 (x, y)=(x+ω…