Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 7-15
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O. I. Bogoyavlenskii; S. P. Novikov. Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 7-15. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a1/
@article{ZNSL_1979_84_a1,
author = {O. I. Bogoyavlenskii and S. P. Novikov},
title = {Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {7--15},
year = {1979},
volume = {84},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a1/}
}
TY - JOUR
AU - O. I. Bogoyavlenskii
AU - S. P. Novikov
TI - Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 7
EP - 15
VL - 84
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a1/
LA - ru
ID - ZNSL_1979_84_a1
ER -
%0 Journal Article
%A O. I. Bogoyavlenskii
%A S. P. Novikov
%T Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 7-15
%V 84
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a1/
%G ru
%F ZNSL_1979_84_a1
Methods of the qualitative theory of differential equations are applied to the homogeneous cosmological models and to a star explosion model in the classical dynamics of gases. Strongly degenerate singular points of these dynamical systems are studied using special coordinate transformations ($\sigma$-process). Trajectories are approximated by the sequences of separatrices for the non-degenerate singular points. Limit cycles are studied.
