@Article{CMR-27-1, author = {Yong, Li and Xu, Lu}, title = {KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems}, journal = {Communications in Mathematical Research }, year = {2011}, volume = {27}, number = {1}, pages = {81--96}, abstract = {

In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems.

}, issn = {2707-8523}, doi = {https://doi.org/2011-CMR-19109}, url = {https://global-sci.com/article/81858/kam-type-theorem-for-lower-dimensional-tori-in-random-hamiltonian-systems} }