Averaging for stochastic perturbations of integrable systems

Guan Huang, Sergei Kuksin, Andrey Piatnitski

We are concerned with averaging theorems for $\epsilon$-small stochastic perturbations of integrable equations in ${\mathbb{R}}^d\times {\mathbb{T}}^n=\{(I,\phi )\}$ $$ \dot I(t) =0,\quad \dot…