Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/