Two approaches to average stochastic perturbations of integrable systems

Sergei Kuksin

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arXiv · 2509.17159

Two approaches to average stochastic perturbations of integrable systems

Sergei Kuksin

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Abstract

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 compare these results with those for deterministic perturbations of integrable systems.

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Sergei Kuksin. 2025-09-21. Two approaches to average stochastic perturbations of integrable systems. https://arxiv.org/abs/2509.17159

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