
doi: 10.1007/bf01660581
The methods of the qualitative theory of differential equations are applied for the investigation of homogeneous cosmological models and to models of stellar explosion in the classical gas dynamics. The strong degeneracy of the singular points of a dynamical system are investigated by their successive solving with the aid of special changes of coordinates. The trajectories of the system are approximated by sequences of separatrices of nondegenerate singular points. The limit cycles are investigated.
Quantum hydrodynamics and relativistic hydrodynamics, cosmological models, gas dynamics, limit cycles, finite-dimensional oscillatory models, star explosion model, general relativity theory
Quantum hydrodynamics and relativistic hydrodynamics, cosmological models, gas dynamics, limit cycles, finite-dimensional oscillatory models, star explosion model, general relativity theory
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