Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 28 (1986), pp. 207-313
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T. S. Akhromeeva; S. P. Kurdyumov; G. G. Malinetskii; A. A. Samarskii. On the classification of the solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 28 (1986), pp. 207-313. http://geodesic.mathdoc.fr/item/INTD_1986_28_a2/
@article{INTD_1986_28_a2,
author = {T. S. Akhromeeva and S. P. Kurdyumov and G. G. Malinetskii and A. A. Samarskii},
title = {On the classification of the solutions of a~system of nonlinear diffusion equations in a~neighborhood of a~bifurcation point},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {207--313},
year = {1986},
volume = {28},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1986_28_a2/}
}
TY - JOUR
AU - T. S. Akhromeeva
AU - S. P. Kurdyumov
AU - G. G. Malinetskii
AU - A. A. Samarskii
TI - On the classification of the solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1986
SP - 207
EP - 313
VL - 28
UR - http://geodesic.mathdoc.fr/item/INTD_1986_28_a2/
LA - ru
ID - INTD_1986_28_a2
ER -
%0 Journal Article
%A T. S. Akhromeeva
%A S. P. Kurdyumov
%A G. G. Malinetskii
%A A. A. Samarskii
%T On the classification of the solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1986
%P 207-313
%V 28
%U http://geodesic.mathdoc.fr/item/INTD_1986_28_a2/
%G ru
%F INTD_1986_28_a2
The theory of reaction-diffusion systems in a neighborhood of a bifurcation point is considered. The basic types of space-time ordering, diffusion chaos in such systems, and sequences of bifurcations leading to complication of solutions are studied. A detailed discussion is given of a hierarchy of simplified models (one- and two-dimensional mappings, systems of ordinary differential equations, and others) which make it possible to carry out a qualitative analysis of the problem studied in the case of small regions. A number of generalizations of the equations studied and the simplest types of ordering in the two-dimensional case are described.
