Stochasticity in dynamical systems and the curvature of the associated Riemannian manifold (Q759496)

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scientific article; zbMATH DE number 3881916
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Stochasticity in dynamical systems and the curvature of the associated Riemannian manifold
scientific article; zbMATH DE number 3881916

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    Stochasticity in dynamical systems and the curvature of the associated Riemannian manifold (English)
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    1985
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    It is shown that no conflicts need to arise between results on the stochastic properties of a dynamical system obtained through the method of the surface of section mapping and results obtained through the Hedlund-Hopf-Lobachevsky-Hadamard theorem.
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    two-body problem
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    Hénon-Heiles system
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    surface of section mapping
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    Hedlund-Hopf-Lobachevsky-Hadamard theorem
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