Averaging and mixing for random perturbations of elliptic equilibria
Sergei Kuksin1
1 IMG-PRG, CNRS, Université Paris Diderot
Séminaire Laurent Schwartz — EDP et applications (2021-2022), Exposé no. 18, 5 p.
Publié le :
DOI : 10.5802/slsedp.147
Sergei Kuksin 1

1 IMG-PRG, CNRS, Université Paris Diderot 
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Sergei Kuksin. Averaging and mixing for random perturbations of elliptic equilibria. Séminaire Laurent Schwartz — EDP et applications (2021-2022), Exposé no. 18, 5 p. doi : 10.5802/slsedp.147. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.147/

[1] V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt. Mathematical Aspects of Classical and Celestial Mechanics. Springer, third edition, 2006. | DOI

[2] N. N. Bogoliubov and Y. A. Mitropolsky. Asymptotic Methods in the Theory of Non-linear Oscillations. Gordon and Breach, New York, 1961.

[3] G. Huang and S. Kuksin. Averaging and mixing for stochastic perturbations of linear conservative systems. 2022. | arXiv

[4] G. Huang and S. Kuksin. On averaging and mixing for stochastic PDEs. 2022. | arXiv

[5] L. Niederman. Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system. Nonlinearity, 11:1465–1479, 1998. | DOI | MR | Zbl

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