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Titlebook: Vladimir I. Arnold - Collected Works; Representations of F Vladimir I. Arnold,Alexander B. Givental,Boris A. Book 2009 Springer-Verlag Ber

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Letter to the editor,В моей работе «О представлении непрерывных функций трех переменных суперпозициями непрерывных функций двух переменных», опубликованной в «Математическом сборнике» (т. 48 (90) (1959), 3-74), ммеется ошибка, на которую мое внимание любезно обратил Боте (Н. О. Bothe).
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Vladimir I. Arnold,Alexander B. Givental,Boris A. Collected Works of one of the most outstanding mathematicians of all times.
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The stability of the equilibrium position of a Hamiltonian system of ordinary differential equation . if the equilibrium position is stable in the first (linear) approximation. Then, as was shown by Birkhoff [1], by a proper choice of the variables ., ., . the Hamiltonian assumes the form .where . is an analytic function of ., ., ., . ≥ 2 and arbitrary. We call a case a . case if among the constants .. (2 ≤ . < ∞) is different from zero.
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Some remarks on flows of line elements and frames,the spaces of line elements and frames of a Riemannian manifold - the isotropic flows. These include flows connected with curves of constant geodesic curvature and with the motion of a charged particle on a smooth surface in the presence of a magnetic field.
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