应用数学2021，Vol.34Issue(2)：477-488,12.
随机哈密尔顿系统的周期变差解和近不变环面解
Periodic Variation Solutions and Tori like Solutions for Stochastic Hamiltonian Systems
摘要
Abstract
In this paper,we study recurrence phenomenon for Hamiltonian systems perturbed by noises,especially path-wise random periodic variation solution (RPVS) and invariant tori like solution.Concretely speaking,for linear Schr(o)dinger equations,we completely clarify when RPVS exists,and for nearly integrable Hamiltonian systems perturbed by noises we prove that the existence of invariant tori like solutions is related to the involution property of multi component driven Hamiltonian functions.关键词
随机动力系统/哈密尔顿系统/重现现象/不变环面Key words
Random system/Hamiltonian system/Recurrence phenomenon/Invariant tori分类
数理科学引用本文复制引用
朱俊,黎泽..随机哈密尔顿系统的周期变差解和近不变环面解[J].应用数学,2021,34(2):477-488,12.基金项目
Supported by the Start-up Funds for Scientific Research of High-Level Talents in Ningbo University(029-422003302) （029-422003302）
