TY - JOUR
T1 - KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems
AU - Li , Yong
AU - Xu , Lu
JO - Communications in Mathematical Research 
VL - 1
SP - 81
EP - 96
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19109.html
KW - random Hamiltonian system, KAM type theorem, Cantor fragment of invariant tori.
AB - <p style="text-align: justify;">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.</p>