The dynamics of homogeneous multidimensional cosmological models

Mathematics – Group Theory

Scientific paper

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Astronomical Models, Big Bang Cosmology, Chaos, Dynamical Systems, Group Theory, Hamiltonian Functions, Manifolds (Mathematics)

Scientific paper

A systematic method of investigating the dynamics of homogeneous multidimensional cosmological models is presented, based on the full classification of homogeneous multidimensional Kaluza-Klein models. The investigation of dynamics is reduced to the investigation of multidimensional dynamical systems; then general conclusions are drawn about chaotic behavior and genericity of homogeneous multidimensional cosmological models.

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