Dynamics of a logistic equation with spatially distributed saturation
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 1, pp. 54-61.

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

Local dynamics of a logistic equation with spatially distributed saturation is studied. Some cases of the Hutchinson equation (an equation with time delay) were also researched. In critical cases normal forms are built.
Keywords: dynamics, logistic equation, Hutchinson equation, method of normal forms.
@article{MAIS_2009_16_1_a4,
     author = {D. S. Kashchenko and I. S. Kashchenko},
     title = {Dynamics of a logistic equation with spatially distributed saturation},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {54--61},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2009_16_1_a4/}
}
TY  - JOUR
AU  - D. S. Kashchenko
AU  - I. S. Kashchenko
TI  - Dynamics of a logistic equation with spatially distributed saturation
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2009
SP  - 54
EP  - 61
VL  - 16
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2009_16_1_a4/
LA  - ru
ID  - MAIS_2009_16_1_a4
ER  - 
%0 Journal Article
%A D. S. Kashchenko
%A I. S. Kashchenko
%T Dynamics of a logistic equation with spatially distributed saturation
%J Modelirovanie i analiz informacionnyh sistem
%D 2009
%P 54-61
%V 16
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2009_16_1_a4/
%G ru
%F MAIS_2009_16_1_a4
D. S. Kashchenko; I. S. Kashchenko. Dynamics of a logistic equation with spatially distributed saturation. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 1, pp. 54-61. http://geodesic.mathdoc.fr/item/MAIS_2009_16_1_a4/

[1] V. A. Vasilev, Yu. M. Romanovskii, V. G. Yakhno, Avtovolnovye protsessy, Nauka, M., 1987

[2] Yu. M. Svirezhev, Nelineinye volny, dissipativnye struktury i katastrofy v ekologii, Nauka, M., 1987 | MR | Zbl

[3] D. S. Kaschenko, I. S. Kaschenko, “Dinamika parabolicheskogo uravneniya s maloi diffuziei i otkloneniem prostranstvennoi peremennoi”, Modelirovanie i analiz informatsionnykh sistem, 15:2 (2008), 89–93 | MR

[4] T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, Nestatsionarnye struktury i diffuzionnyi khaos, Nauka, Glavnaya redaktsiya fiz.-mat. literatury, M., 1992 | MR | Zbl

[5] S. Leven, L. Segel, “Pattern generation in space and aspect”, SIAM Review, 27 (1985), 45–67 | DOI | MR