Techniques for searching first integrals by Lie group and application to gyroscope system (Q882957)
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scientific article; zbMATH DE number 5157204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Techniques for searching first integrals by Lie group and application to gyroscope system |
scientific article; zbMATH DE number 5157204 |
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Techniques for searching first integrals by Lie group and application to gyroscope system (English)
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29 May 2007
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The Lie group method is used in searching for first integrals of autonomous systems. A class of nontrivial one-parameter Lie groups admitted by the classic problem of rotation of rigid body about a fixed point is applied to find the four first integral. Then the four first integrals in the cases of Euler, Lagrange and Kovalevskaya can be obtained in a unified form.
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one-parameter Lie groups
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0.8726478
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0.85039145
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0.84479654
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0.8446384
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0.8441457
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0.84370786
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