Two approaches to average stochastic perturbations of integrable systems
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917068745474048 |
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| author | Kuksin, Sergei |
| author_facet | Kuksin, Sergei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17159 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two approaches to average stochastic perturbations of integrable systems Kuksin, Sergei Dynamical Systems 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. |
| title | Two approaches to average stochastic perturbations of integrable systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2509.17159 |