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The problem on perturbed motion of a symmetric rigid body - MaRDI portal

The problem on perturbed motion of a symmetric rigid body (Q5960229)

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scientific article; zbMATH DE number 1727631
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The problem on perturbed motion of a symmetric rigid body
scientific article; zbMATH DE number 1727631

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    The problem on perturbed motion of a symmetric rigid body (English)
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    14 April 2002
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    The author studies the perturbed motion of dynamically symmetric rigid body on absolutely smooth horizontal plane. By means of the method of splitting of asymptotic surfaces presented in [\textit{V. V. Kozlov}, Russ. Math. Surv. 38, No. 1, 1-76 (1983); translation from Usp. Mat. Nauk 38, No. 1(229), 3-67 (1983; Zbl 0525.70023)], it is proved that the perturbed motion for the given problem is not integrable.
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    absolutely smooth horizontal plane
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    dynamically symmetric rigid body
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    perturbed motion
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    method of splitting of asymptotic surfaces
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