Angular velocity of the Kovalevskaya top (Q1577157)
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scientific article; zbMATH DE number 1498353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Angular velocity of the Kovalevskaya top |
scientific article; zbMATH DE number 1498353 |
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Angular velocity of the Kovalevskaya top (English)
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30 August 2000
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The author considers the motion of a heavy rigid body about a fixed point, constructs invariant sets (in particular, images of Liouville tori and three-dimensional isoenergetic surfaces) in the movable space of angular velocities, and classifies all possible types of those sets. A family of curves on Poisson sphere illustrates the Liouville foliation for Kovalevskaya top.
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invariant sets
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Liouville tori
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three-dimensional isoenergetic surfaces
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family of curves on Poisson sphere
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Liouville foliation
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Kovalevskaya top
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