Principal quasinormal forms for two-component systems of parabolic equations
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 12-20.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article includes principal quasinormal forms of singular pertubed parabolic equations systems in critical cases.
Keywords: delay differential equation, small parameter.
Mots-clés : quasinormal form
@article{MAIS_2011_18_3_a1,
     author = {S. A. Kashchenko},
     title = {Principal quasinormal forms for two-component systems of parabolic equations},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {12--20},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a1/}
}
TY  - JOUR
AU  - S. A. Kashchenko
TI  - Principal quasinormal forms for two-component systems of parabolic equations
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2011
SP  - 12
EP  - 20
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a1/
LA  - ru
ID  - MAIS_2011_18_3_a1
ER  - 
%0 Journal Article
%A S. A. Kashchenko
%T Principal quasinormal forms for two-component systems of parabolic equations
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 12-20
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a1/
%G ru
%F MAIS_2011_18_3_a1
S. A. Kashchenko. Principal quasinormal forms for two-component systems of parabolic equations. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 12-20. http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a1/

[1] S. A. Kaschenko, “O kvazinormalnykh formakh dlya parabolicheskikh uravnenii s maloi diffuziei”, DAN, 299:5 (1988), 1049–1053

[2] S. A. Kaschenko, “Prostranstvennye osobennosti vysokomodovykh bifurkatsii dvukhkomponentnykh sistem s maloi diffuziei”, Differentsialnye uravneniya, 25:2 (1989), 262–270 | MR

[3] S. A. Kashchenko, “Normalization in the Systems with Small Diffusion”, International Journal of Bifurcation and Chaos, 6:6 (1996), 1093–1109 | DOI | MR | Zbl

[4] S. A. Kashchenko, “Bifurcational Features in Systems of Nonlinear Parabolic Equations with Weak Diffusion”, International Journal of Bifurcation and Chaos, 15:11 (2005), 3595–3606 | DOI | MR

[5] I. S. Kaschenko, “Multistabilnost v nelineinykh parabolicheskikh sistemakh s maloi diffuziei”, DAN, 435:2 (2010), 164–167 | MR