2 papers
math.DS2025
Two approaches to average stochastic perturbations of integrable systems
Sergei Kuksin
We discuss two approaches to study the long-time behaviour and infinite-time behaviour of solutions for integrable hamiltonian systems under small stochastic perturbations. Then we…
math.DS2025
On the averaging theorems for stochastic perturbation of conservative linear systems
Jing Guo, Sergei Kuksin, Zhenxin Liu
For stochastic perturbations of linear systems with non-zero pure imaginary spectrum we discuss the averaging theorems in terms of the slow-fast action-angle variables and in the s…