The absence of an additional real-analytic first integral in some problems of dynamics (Q1392308)
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scientific article; zbMATH DE number 1179561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The absence of an additional real-analytic first integral in some problems of dynamics |
scientific article; zbMATH DE number 1179561 |
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The absence of an additional real-analytic first integral in some problems of dynamics (English)
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11 October 1998
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This paper is devoted to the existence of an additional meromorphic first integral (functionally independent of the known integrals) for some class of dynamic problems in the complexified phase space. The main goal of the author is to prove that there are no meromorphic (in particular, analytic) first integrals for these problems in the real phase space as well.
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nonsymmetric body
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monodromy group
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meromorphic first integral
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