Generalization of the Goryachev--Chaplygin case (Q1860536)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of the Goryachev--Chaplygin case |
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Generalization of the Goryachev--Chaplygin case (English)
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24 February 2003
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The authors present a generalization of Goryachev-Chaplygin integrable case for a pencil of Poisson brackets, and for Sokolov terms in a new integrable case of Kirchhoff equations. They also describe a new integrable case for the quaternion form of rigid body dynamics' equations.
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generalized Goryachev-Chaplygin integrable case
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Poisson brackets
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Euler-Poisson equation
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Kirchhoff equations
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Sokolov terms
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quaternion rigid body dynamics' equations
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