Nonintegrability of the Suslov problem (Q1860542)
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scientific article; zbMATH DE number 1873393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonintegrability of the Suslov problem |
scientific article; zbMATH DE number 1873393 |
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Nonintegrability of the Suslov problem (English)
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24 February 2003
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The Suslov problem considers the motion of a rigid body with a fixed point in constant gravity field with an additional nonholonomic constraint that the angular velocity is orthogonal to some fixed vector in the body. The authors study a reduction of this problem proposed by V. V. Kozlov and, using the Ziglin-Morales-Ramis theory, prove that this system admits an additional meromorphic first integral only in one already known case.
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nonholonomic constraint
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rigid body with fixed point
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Suslov problem
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differential Galois theory
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gravity field
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Ziglin-Morales-Ramis theory
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meromorphic first integral
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