New examples of integrable conservative systems on \(S^2\) and the case of Goryachev-Chaplygin (Q1586924)
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scientific article; zbMATH DE number 1533557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New examples of integrable conservative systems on \(S^2\) and the case of Goryachev-Chaplygin |
scientific article; zbMATH DE number 1533557 |
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New examples of integrable conservative systems on \(S^2\) and the case of Goryachev-Chaplygin (English)
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20 November 2000
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The paper deals with new families of integrable systems. Here, the author proposes new examples of conservative systems on \(S^2\) possessing cubic integrals in momenta and obtain a classifications of a large class of such systems. This class contains new families of integrable systems as well as the Goryachev-Chaplygin case.
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integrable systems
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conservative systems on \(S^2\)
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