%0 Journal Article %T On dynamical systems perturbed by a null-recurrent fast motion: The continuous coefficient case with independent driving noises %A Zsolt Pajor-Gyulai %A Michael Salins %J Mathematics %D 2014 %I arXiv %R 10.1007/s10959-015-0600-5 %X An ordinary differential equation perturbed by a null-recurrent diffusion will be considered in the case where the averaging type perturbation is strong only when a fast motion is close to the origin. The normal deviations of these solutions from the averaged motion are studied, and a central limit type theorem is proved. The limit process satisfies a linear equation driven by a Brownian motion time changed by the local time of the fast motion. %U http://arxiv.org/abs/1410.4625v3