Geodesic
The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the Fokker–Planck equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1237-1250 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The change of a steady-state solution to the Fokker–Planck equation in response to small variations of the right-hand side (vector field) of the corresponding unperturbed system is investigated. Certain functionals of a steady-state solution and their dependence on the right-hand side of the unperturbed system are considered. This dependence is linearized, and an algorithm for computing its linear part is constructed. The applicability of the developed method to the control of dynamical systems is discussed. 
@article{ZVMMF_2005_45_7_a9,
     author = {A. I. Noarov},
     title = {The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the {Fokker{\textendash}Planck} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1237--1250},
     year = {2005},
     volume = {45},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a9/}
}
TY  - JOUR
AU  - A. I. Noarov
TI  - The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the Fokker–Planck equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 1237
EP  - 1250
VL  - 45
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a9/
LA  - ru
ID  - ZVMMF_2005_45_7_a9
ER  - 
%0 Journal Article
%A A. I. Noarov
%T The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the Fokker–Planck equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 1237-1250
%V 45
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a9/
%G ru
%F ZVMMF_2005_45_7_a9
A. I. Noarov. The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the Fokker–Planck equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1237-1250. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a9/

[1] Noarov A. I., “Ob odnom dostatochnom uslovii suschestvovaniya statsionarnogo resheniya uravneniya Fokkera-Planka”, Zh. vychisl. matem. i matem. fiz., 37:5 (1997), 587–598 | MR | Zbl

[2] Noarov A. I., “Chislennoe issledovanie uravneniya Fokkera-Planka”, Zh. vychisl. matem. i matem. fiz., 39:8 (1999), 1337–1347 | MR | Zbl