Averaging and mixing for random perturbations of elliptic equilibria
Kuksin, Sergei1
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
Kuksin, Sergei 1

1 IMG-PRG, CNRS, Université Paris Diderot 
@article{SLSEDP_2021-2022____A3_0,
     author = {Kuksin, Sergei},
     title = {Averaging and mixing for random perturbations of elliptic equilibria},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:18},
     pages = {1--5},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2021-2022},
     doi = {10.5802/slsedp.147},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/slsedp.147/}
}
TY  - JOUR
AU  - Kuksin, Sergei
TI  - Averaging and mixing for random perturbations of elliptic equilibria
JO  - Séminaire Laurent Schwartz — EDP et applications
N1  - talk:18
PY  - 2021-2022
SP  - 1
EP  - 5
PB  - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://archive.numdam.org/articles/10.5802/slsedp.147/
DO  - 10.5802/slsedp.147
LA  - en
ID  - SLSEDP_2021-2022____A3_0
ER  - 
%0 Journal Article
%A Kuksin, Sergei
%T Averaging and mixing for random perturbations of elliptic equilibria
%J Séminaire Laurent Schwartz — EDP et applications
%Z talk:18
%D 2021-2022
%P 1-5
%I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://archive.numdam.org/articles/10.5802/slsedp.147/
%R 10.5802/slsedp.147
%G en
%F SLSEDP_2021-2022____A3_0
Kuksin, Sergei. 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. http://archive.numdam.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

Cité par Sources :